Homework Answers
Add Answer to:
show all steps necessary thanks
(3)(25 points) A Heat equation in 1D is aUlat = 382U/8r2....
PDE. Please show all steps in detail. 2. Consider the 1D heat equation in a rod...
PDE. Please show all steps in detail.
2. Consider the 1D heat equation in a rod of length with diffusion constant Suppose the left endpoint is convecting (in obedience to Newton's Law of Cooling with proportionality constant K-1) with an outside medium which is 5000. while the right endpoint is insulated. The initial temperature distribution in the rod is given by f(a)- 2000 -0.65 300, 0<<t (a) Set up the initial-boundary value problem modeling this scenario. (b) Set up and...
2. Consider the 1D heat equation in a rod of length with diffusion constant Suppose the left endp...
PDE. Please show all steps in detail.
2. Consider the 1D heat equation in a rod of length with diffusion constant Suppose the left endpoint is convecting (in obedience to Newton's Law of Cooling with proportionality constant K-1) with an outside medium which is 5000. while the right endpoint is insulated. The initial temperature distribution in the rod is given by f(a)- 2000 -0.65 300, 0<
please show all steps 4. Some equations that are not separable can be made separable by...
please show all steps
4. Some equations that are not separable can be made separable by an appropriate substitution. Differential equations of the form y = f (!) are called Euler-homogeneous. These can be solved by letting v = y/t or y = ut. Using the product rule, dy du di = v + tai so that the differential equation becomes du v+t du f(0) - 0 dt t Use this technique to solve dy 2y+ + +4 - Leave...
questions are connected. please show steps to all Consider the system characterized by the characteristic polynomial...
questions are connected. please show steps to
all
Consider the system characterized by the characteristic polynomial D2+4D+4. (0) Find the zero-input response go(t) of the system, such that vol(o) 0 and o(0) -1. Impulse Response and Zero-State Response 4 Consider the system characterized by the following diferential equation where z() represents the iaut and y(t) the output (D2 +4D+4) y(t) Da(t) (i) Determine the impulse response h(t) of the system. (i) Compute the convolution h r(t) for r(t) eu(t). Hint:...
Solve equation (15-19) for the temperature distribution in a plane wall if the internal heat generation...
Solve equation (15-19) for the temperature distribution in a plane wall if the internal heat generation per unit volume varies according to y = 4 . The boundary conditions that apply are T=To atx=0 and T=T, at x=L Equation 15-19 15.2 Special Forms of the Differential Energy Equation The applicable forms of the energy equation for some commonly encountered stations follow. In every case the dissipation term is considered negligibly small I. For an incompressible fluid without energy sources and...
Please show the steps on how to obtain the highlighted answers 6 -1 S (s –...
Please show the steps on how to obtain the highlighted
answers
6 -1 S (s – 13)e-48) } = (a) u(t – 4) [3e +2(t-4) – 2e3(t–4] e l s2 - 5-6 (b) uſt - 4) (3e2(t-1) – 2e-3(t-1)] (c) uſt – 4) [2e3(-4) – 3e-2(t-1)] (d) uſt - 4) 2e-3/t-4) – 3e2(t-1)] (e) None of these 7. The general solution of the differential equation 4.ray" + 8xy' + y = 0, valid for 170, is given by (a) C1|2|-+...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
Here are the question and answer of ordinary differential equation. Please show the steps. Thanks! 5....
Here are the question and answer of ordinary differential
equation.
Please show the steps. Thanks!
5. (a) Show that yo-Vi and y(t)-1/1 are solutions of the differential equa- tion (*) 21%y+3 ty' - y=0 on the interval 0<t<0. (6) Compute W[ 2](). What happens as i approaches zero? (c) Show that y(i) and yz(1) form a fundamental set of solutions of (*) on the interval 0<t<0. (d) Solve the initial-value problem 21%y" +3 ty'-y 0; y(1)-2, y'(l)-1. 5. (b) W=32;...
3. For following input/output system relationships, determine the impulse response h(t). Clearly show all the steps...
3. For following input/output system relationships, determine the impulse response h(t). Clearly show all the steps arriving to your answer. p(-)x(1-)a L(2- r)x(1)dr-L*-1)x(1)dr (10 points) y(t) a. b. (10 points) y(t) -00 4. (10 points) An LTI system has the impulse response: h(t) = 4e-0.75(-1)[u(t + 4) - u(t - 10)]. this system Causal or Non-Causal? You must justify your answer. A correct answer with no justification worth only 4 points Is
3. For following input/output system relationships, determine the...
The amount of heat needed to raise the temperature of 1 mole of a substance by...
The amount of heat needed to raise the temperature of 1 mole of a substance by one Celsius degree (or, equivalently, one kelvin) is called the molar heat capacity of the system, denoted by the letter C. If a small amount of heat dQ is put into n moles of a substance, and the resulting change in temperature for the system is dT, then C=1ndQdT. This is the definition of molar heat capacity--the amount of heat Q added per infinitesimal...
PDE. Please show all steps in detail.
2. Consider the 1D heat equation in a rod of length with diffusion constant Suppose the left endpoint is convecting (in obedience to Newton's Law of Cooling with proportionality constant K-1) with an outside medium which is 5000. while the right endpoint is insulated. The initial temperature distribution in the rod is given by f(a)- 2000 -0.65 300, 0<<t (a) Set up the initial-boundary value problem modeling this scenario. (b) Set up and...
PDE. Please show all steps in detail.
2. Consider the 1D heat equation in a rod of length with diffusion constant Suppose the left endpoint is convecting (in obedience to Newton's Law of Cooling with proportionality constant K-1) with an outside medium which is 5000. while the right endpoint is insulated. The initial temperature distribution in the rod is given by f(a)- 2000 -0.65 300, 0<
please show all steps
4. Some equations that are not separable can be made separable by an appropriate substitution. Differential equations of the form y = f (!) are called Euler-homogeneous. These can be solved by letting v = y/t or y = ut. Using the product rule, dy du di = v + tai so that the differential equation becomes du v+t du f(0) - 0 dt t Use this technique to solve dy 2y+ + +4 - Leave...
questions are connected. please show steps to
all
Consider the system characterized by the characteristic polynomial D2+4D+4. (0) Find the zero-input response go(t) of the system, such that vol(o) 0 and o(0) -1. Impulse Response and Zero-State Response 4 Consider the system characterized by the following diferential equation where z() represents the iaut and y(t) the output (D2 +4D+4) y(t) Da(t) (i) Determine the impulse response h(t) of the system. (i) Compute the convolution h r(t) for r(t) eu(t). Hint:...
Solve equation (15-19) for the temperature distribution in a plane wall if the internal heat generation per unit volume varies according to y = 4 . The boundary conditions that apply are T=To atx=0 and T=T, at x=L Equation 15-19 15.2 Special Forms of the Differential Energy Equation The applicable forms of the energy equation for some commonly encountered stations follow. In every case the dissipation term is considered negligibly small I. For an incompressible fluid without energy sources and...
Please show the steps on how to obtain the highlighted
answers
6 -1 S (s – 13)e-48) } = (a) u(t – 4) [3e +2(t-4) – 2e3(t–4] e l s2 - 5-6 (b) uſt - 4) (3e2(t-1) – 2e-3(t-1)] (c) uſt – 4) [2e3(-4) – 3e-2(t-1)] (d) uſt - 4) 2e-3/t-4) – 3e2(t-1)] (e) None of these 7. The general solution of the differential equation 4.ray" + 8xy' + y = 0, valid for 170, is given by (a) C1|2|-+...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
Here are the question and answer of ordinary differential
equation.
Please show the steps. Thanks!
5. (a) Show that yo-Vi and y(t)-1/1 are solutions of the differential equa- tion (*) 21%y+3 ty' - y=0 on the interval 0<t<0. (6) Compute W[ 2](). What happens as i approaches zero? (c) Show that y(i) and yz(1) form a fundamental set of solutions of (*) on the interval 0<t<0. (d) Solve the initial-value problem 21%y" +3 ty'-y 0; y(1)-2, y'(l)-1. 5. (b) W=32;...
3. For following input/output system relationships, determine the impulse response h(t). Clearly show all the steps arriving to your answer. p(-)x(1-)a L(2- r)x(1)dr-L*-1)x(1)dr (10 points) y(t) a. b. (10 points) y(t) -00 4. (10 points) An LTI system has the impulse response: h(t) = 4e-0.75(-1)[u(t + 4) - u(t - 10)]. this system Causal or Non-Causal? You must justify your answer. A correct answer with no justification worth only 4 points Is
3. For following input/output system relationships, determine the...
Most questions answered within 3 hours.
-
Kelsey Drums, Inc., is a well-established supplier of fine
percussion instruments to orchestras all over the...
asked 19 seconds ago -
In a criminal case, the state must not prove its case beyond a
reasonable doubt. T/F
asked 4 minutes ago -
5.6 dm^3 of gaseous HCl (as measured in normal conditions) is
dissolved in 100 cm^3 of...
asked 14 minutes ago -
The hammer throw is a track-and-field event in which a 7.2-kg
ball (the ''hammer''), starting from...
asked 31 minutes ago -
Evaluate a specific listening situation using the Sapir-Whorf
and Bernstein hypothesis. What was thecontext? What was...
asked 38 minutes ago -
Recall that if X is a Student’s t random variable with n df,
then by definition...
asked 56 minutes ago -
A charge of -2.95 µC is fixed in place. From a horizontal
distance of 0.0470 m,...
asked 53 minutes ago -
Consider the following information:
Your company makes widgets. You are trying to figure out what
volume...
asked 55 minutes ago -
Math 333 Plz help ASAP
The yield of a chemical process is being studied. From previous...
asked 1 hour ago -
Cobb-Douglas Preferences: Cobb-Douglas preferences on the
consump-
tion set R2+ can be represented by a utility...
asked 1 hour ago -
In your experience, what are some of the barriers to the
successful implementation of a project?...
asked 1 hour ago -
1. A normal distribution has a mean of
μ = 60 and a standard deviation
of...
asked 1 hour ago