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2. Which of the followings is the correct classification of the...
Which of the followings is the correct classification of the differential equation (32")3 + 2xx' –...
Which of the followings is the correct classification of the differential equation (32")3 + 2xx' – 4tr =0. a) 3rd order, 2nd degree, linear, ODE b) 2nd order, 3rd degree, non-linear, ODE c) 2nd order, 3rd degree, non-linear, PDE d) and order, 3rd degree, linear, PDE e) 3rd order, 2nd degree, non-linear, ODE
please make sure u solve in clear steps and 100% correct 4. (21 pts) Laplace Transforms...
please make sure u solve in clear steps and 100% correct
4. (21 pts) Laplace Transforms of ODE-A mechanical system has the following 2nd order differential equation describing its position x(t): d+x(e) – 4 dx(t) + 4x(t) = 0. The initial conditions are: x'= 3.9m/s and x(@) = 2.1m a. (3 pts) Convert the differential equation into the s-domain. Substitute in the initial conditions as needed XCS/ dt2dt
a sson as possible please Question 3 Consider y' + sin(y") + (sin t)y'" – 7y...
a sson as possible please
Question 3 Consider y' + sin(y") + (sin t)y'" – 7y = cost. • Is this differential equation linear or nonlinear? • What is the order of this differential equation? (select 2 options below) Linear Nonlinear 1st order 2nd order 3rd order 4th order 5th order 99th order
Can someone quickly help me with this? It is a second ODE question that needs to...
Can someone quickly help me
with this? It is a second ODE question that needs to be answered by
using MATLAB or python please.
The ODE in Problem #2 and #3 for an oscillating mass is used to approximate the motion of a pendulum when the angle of displacement, theta, is small. That is: 0% = -2206 – m200 Where Og represents the approximate value of 0. The actual equation of motion for the pendulum is given by the trickier...
Need help with all of it Problem 2: Consider the 1st order ODE ry + (2.+...
Need help with all of it
Problem 2: Consider the 1st order ODE ry + (2.+ 3y2 – 20y = 0. (2) As we discussed in class, this ODE isn't linear, exact, or separable. We will now develop a method to solve an ODE like this. Consider the more general case given by the ODE M(2,4) + N(2,4)} = 0 as in our situation, assume this ODE isn't linear, separable, or exact. Our goal will be to find a function...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the...
please give the correct answer with explanations, thank you
Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
Please solve it quickly Thanks ❤ a. Let C be the curve which is represented by...
Please solve it quickly Thanks ❤
a. Let C be the curve which is represented by the vector valued function r(t) = xi + /2; +*+?k, Osts 2. Find the arc length of C. b. Let C be the curve with parametric equation x = 2t? and y = 8+9+ t, then find the equation of the tangent line to the curve C corresponding to the point t = 1.
Apply the method of separation of variables to the PDE below to derive a pair of...
Apply the method of separation of variables to the PDE below to derive a pair of ODEs, one of which involves only x and the other of which involves only y. (You do not need to solve the ODE.) 23 u дх3 + x 23 u dy3 = 0 6 u=o L10)=0 Cha: Supplemental information -Linearity satisfies the property Leau, uz)=C.L(ui) +C₂L(42) - Heat Egn. is a linear partial differential equation : L(a)= eu-kay = f(xt) Linear homogeneous = L()...
Please help answer the 5 parts of this 1 question. Question 6 -2a is a solution...
Please help answer the 5 parts of this 1 question.
Question 6 -2a is a solution to the following ODE:/" -2/-8y 0. Use Reduction of Order to find a y1 2nd linearly independent solution. [Select] Step 1: Let y- Select] [Se ue(-2x) Then y e-2x) Step 2: Substitu ue-8x) simplify to get [Select e-8x) Step 3: Reduce Step 4: Solve the equation for w. (Select] Step 5: Solve for u. Step 6. Identify the two linearly independent solutions e ae...
(17 points) A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which...
(17 points) A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (P2 - 2r+2) rtr + 3) = 0 Write the nine fundamental solutions to the differential equation. y y2 > Y4= Ys = Y y = 19 = (You can enter your answers in any order.)
Which of the followings is the correct classification of the differential equation (32")3 + 2xx' – 4tr =0. a) 3rd order, 2nd degree, linear, ODE b) 2nd order, 3rd degree, non-linear, ODE c) 2nd order, 3rd degree, non-linear, PDE d) and order, 3rd degree, linear, PDE e) 3rd order, 2nd degree, non-linear, ODE
please make sure u solve in clear steps and 100% correct
4. (21 pts) Laplace Transforms of ODE-A mechanical system has the following 2nd order differential equation describing its position x(t): d+x(e) – 4 dx(t) + 4x(t) = 0. The initial conditions are: x'= 3.9m/s and x(@) = 2.1m a. (3 pts) Convert the differential equation into the s-domain. Substitute in the initial conditions as needed XCS/ dt2dt
a sson as possible please
Question 3 Consider y' + sin(y") + (sin t)y'" – 7y = cost. • Is this differential equation linear or nonlinear? • What is the order of this differential equation? (select 2 options below) Linear Nonlinear 1st order 2nd order 3rd order 4th order 5th order 99th order
Can someone quickly help me
with this? It is a second ODE question that needs to be answered by
using MATLAB or python please.
The ODE in Problem #2 and #3 for an oscillating mass is used to approximate the motion of a pendulum when the angle of displacement, theta, is small. That is: 0% = -2206 – m200 Where Og represents the approximate value of 0. The actual equation of motion for the pendulum is given by the trickier...
Need help with all of it
Problem 2: Consider the 1st order ODE ry + (2.+ 3y2 – 20y = 0. (2) As we discussed in class, this ODE isn't linear, exact, or separable. We will now develop a method to solve an ODE like this. Consider the more general case given by the ODE M(2,4) + N(2,4)} = 0 as in our situation, assume this ODE isn't linear, separable, or exact. Our goal will be to find a function...
please give the correct answer with explanations, thank you
Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
Please solve it quickly Thanks ❤
a. Let C be the curve which is represented by the vector valued function r(t) = xi + /2; +*+?k, Osts 2. Find the arc length of C. b. Let C be the curve with parametric equation x = 2t? and y = 8+9+ t, then find the equation of the tangent line to the curve C corresponding to the point t = 1.
Apply the method of separation of variables to the PDE below to derive a pair of ODEs, one of which involves only x and the other of which involves only y. (You do not need to solve the ODE.) 23 u дх3 + x 23 u dy3 = 0 6 u=o L10)=0 Cha: Supplemental information -Linearity satisfies the property Leau, uz)=C.L(ui) +C₂L(42) - Heat Egn. is a linear partial differential equation : L(a)= eu-kay = f(xt) Linear homogeneous = L()...
Please help answer the 5 parts of this 1 question.
Question 6 -2a is a solution to the following ODE:/" -2/-8y 0. Use Reduction of Order to find a y1 2nd linearly independent solution. [Select] Step 1: Let y- Select] [Se ue(-2x) Then y e-2x) Step 2: Substitu ue-8x) simplify to get [Select e-8x) Step 3: Reduce Step 4: Solve the equation for w. (Select] Step 5: Solve for u. Step 6. Identify the two linearly independent solutions e ae...
(17 points) A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (P2 - 2r+2) rtr + 3) = 0 Write the nine fundamental solutions to the differential equation. y y2 > Y4= Ys = Y y = 19 = (You can enter your answers in any order.)
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