Homework Answers
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Please help on parts A&B
Part a What is a solution of the following differential equation?...
Part a What is a solution of the following differential equation? df dt Select the correct...
Part a What is a solution of the following differential equation? df dt Select the correct answer O f(t) A sin(kt) f(t) = Ce-kt
This question contains multiple parts Make sure to read all the instructions andenswer each part Part...
This question contains multiple parts Make sure to read all the instructions andenswer each part Part a What is a solution of the following differential equation? Select the correct answer 1 of 3 attempts used O f)-Asin(kt) Part b For the function fe)-Ae T.S,find the value of t at which the function has decressed to hait its instial value That is, tolve the following for t Enter apswer here 0 of 3 attempts used Part c f Ilogjo(a) then what...
Consider the following differential equation for A = 4 and B = 4: y''(t) + Ay'(t)...
Consider the following differential equation for A = 4 and B =
4: y''(t) + Ay'(t) + By(t) = 8u(t) + -6t u(t) where u(t) is the
unit step function. Assume initial conditions: y'(0) = -6 y(0) = 5
Solve this differential equation to obtain an answer of the form
shown below. Enter the value for the coefficient c3. Please enter
your answer as a number in decimal format (not a
fraction).
y(t) = co0(t) + Ga(t) + c2 ta(t)...
need help all those questions. 10. Solve the following systems of linear differential equations: 11. Determine the Laplace transform of each of the following functions: (a) fe)-2t+1, 0StcI , 21 (b...
need help all those questions.
10. Solve the following systems of linear differential equations: 11. Determine the Laplace transform of each of the following functions: (a) fe)-2t+1, 0StcI , 21 (b) f(t) te (c) f(t) = cos t cos 2t (Hint: Examine cos(a ± b).) Determine the inverse Laplace transform of each function: 12. (a) F(s) = 52 +9 is Demin 13. Determine L{kt cos kt + sin kt). 0, t< a 14. Determine L(cos 2t)U(t-r), where U(t-a)={ 15. Use...
Consider the following differential equation for A = 4 and B = 4: y''(t) + Ay'(t) + By(t) = 1u(t)...
Consider the following differential equation for A = 4 and B =
4: y''(t) + Ay'(t) + By(t) = 1u(t) + -1t u(t) where u(t) is the
unit step function. Assume initial conditions: y'(0) = -4 y(0) = 2
Solve this differential equation to obtain an answer of the form
shown below. Enter the value for the coefficient c3. Please enter
your answer as a number in decimal format (not a
fraction).
y(t) = co0(t) + Ga(t) + c2 ta(t)...
(1 point) Use the "mixed partials" check to see if the following differential equation is exact....
(1 point) Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) - C are solutions to the differential equation (-le sin(y)-3y)ax + (-3x + 1e' cos(y))dy-0 First: M,(x,y) = and N,( If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
What is the solution for this first order nonlinear differential equation of this SIR model with...
What is the solution for this first order nonlinear differential equation of this SIR model with these initial conditions? S(t)=not infected individuals (1) l(t)- Currently Infected (588) R(t)- recovered individuals (0) This will be a nonlinear first order differential equation(ODE) dasi d/dt-sal-kt di/dt a (s-k/a) i dr/dt-ki Total population will be modeled by this equation consistent with the SlR model. d(S+l+R)/dt= -saltsal-kltkl-0 Solution: i stk/aln stK Model the topic using a differential equation. a) Draw any visuals (diagrams) that exemplify...
Use the "mixed partials" check to see if the following differential equation is exact. Irit is ex...
Please answer both questions (note the answers shown here are
not correct)
A)
B)
Use the "mixed partials" check to see if the following differential equation is exact. Irit is exact find a function F(x.y) whose dilTerential, dF (x, y) is the left hand side of the diflferential equation. That is, level curves F(x,y)-C are solutions to the differential equation: First: , and N(x, y) 3x-2y*2) If the cquation is not cxact, enter not exact, otherwise enter in F(x, y)...
Question 6 This question contains multiple parts. Make sure to read all the instructions and answer...
Question 6 This question contains multiple parts. Make sure to read all the instructions and answer each part. Part a What is the derivative of f(x, t) = A sin (kx + wt) with respect to time (t)? Select the correct answer df = Aw sin(kx + at) A cos(kx +wt) 0 4 = Ak sin(kx + wt) 0 4 = Aw cos(kx + wt) Part b What is the second derivative of f(x,t)-A sin(ka+ ut) with respect to space...
[10pts] Let's imagine that we have a first-order differential equation that is hard or impossible to solve. The...
[10pts] Let's imagine that we have a first-order differential equation that is hard or impossible to solve. The general form is: df g(e) f(t)-he) dt where g(t) and h(t) are understood to be known. It turns out that any first order differential equation is relatively easy to solve using computational techniques. Specifically, starting from the definition of the derivative... df f(t+dt)-S(t) (dt small) dt dt we can rearrange the equation to become... www f(t+dt)-f(t)+dt-df (dt small) dt In other words,...
Part a What is a solution of the following differential equation? df dt Select the correct answer O f(t) A sin(kt) f(t) = Ce-kt
This question contains multiple parts Make sure to read all the instructions andenswer each part Part a What is a solution of the following differential equation? Select the correct answer 1 of 3 attempts used O f)-Asin(kt) Part b For the function fe)-Ae T.S,find the value of t at which the function has decressed to hait its instial value That is, tolve the following for t Enter apswer here 0 of 3 attempts used Part c f Ilogjo(a) then what...
Consider the following differential equation for A = 4 and B =
4: y''(t) + Ay'(t) + By(t) = 8u(t) + -6t u(t) where u(t) is the
unit step function. Assume initial conditions: y'(0) = -6 y(0) = 5
Solve this differential equation to obtain an answer of the form
shown below. Enter the value for the coefficient c3. Please enter
your answer as a number in decimal format (not a
fraction).
y(t) = co0(t) + Ga(t) + c2 ta(t)...
need help all those questions.
10. Solve the following systems of linear differential equations: 11. Determine the Laplace transform of each of the following functions: (a) fe)-2t+1, 0StcI , 21 (b) f(t) te (c) f(t) = cos t cos 2t (Hint: Examine cos(a ± b).) Determine the inverse Laplace transform of each function: 12. (a) F(s) = 52 +9 is Demin 13. Determine L{kt cos kt + sin kt). 0, t< a 14. Determine L(cos 2t)U(t-r), where U(t-a)={ 15. Use...
Consider the following differential equation for A = 4 and B =
4: y''(t) + Ay'(t) + By(t) = 1u(t) + -1t u(t) where u(t) is the
unit step function. Assume initial conditions: y'(0) = -4 y(0) = 2
Solve this differential equation to obtain an answer of the form
shown below. Enter the value for the coefficient c3. Please enter
your answer as a number in decimal format (not a
fraction).
y(t) = co0(t) + Ga(t) + c2 ta(t)...
(1 point) Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) - C are solutions to the differential equation (-le sin(y)-3y)ax + (-3x + 1e' cos(y))dy-0 First: M,(x,y) = and N,( If the equation is not exact, enter not exact, otherwise enter in F(x, y) here
What is the solution for this first order nonlinear differential equation of this SIR model with these initial conditions? S(t)=not infected individuals (1) l(t)- Currently Infected (588) R(t)- recovered individuals (0) This will be a nonlinear first order differential equation(ODE) dasi d/dt-sal-kt di/dt a (s-k/a) i dr/dt-ki Total population will be modeled by this equation consistent with the SlR model. d(S+l+R)/dt= -saltsal-kltkl-0 Solution: i stk/aln stK Model the topic using a differential equation. a) Draw any visuals (diagrams) that exemplify...
Please answer both questions (note the answers shown here are
not correct)
A)
B)
Use the "mixed partials" check to see if the following differential equation is exact. Irit is exact find a function F(x.y) whose dilTerential, dF (x, y) is the left hand side of the diflferential equation. That is, level curves F(x,y)-C are solutions to the differential equation: First: , and N(x, y) 3x-2y*2) If the cquation is not cxact, enter not exact, otherwise enter in F(x, y)...
Question 6 This question contains multiple parts. Make sure to read all the instructions and answer each part. Part a What is the derivative of f(x, t) = A sin (kx + wt) with respect to time (t)? Select the correct answer df = Aw sin(kx + at) A cos(kx +wt) 0 4 = Ak sin(kx + wt) 0 4 = Aw cos(kx + wt) Part b What is the second derivative of f(x,t)-A sin(ka+ ut) with respect to space...
[10pts] Let's imagine that we have a first-order differential equation that is hard or impossible to solve. The general form is: df g(e) f(t)-he) dt where g(t) and h(t) are understood to be known. It turns out that any first order differential equation is relatively easy to solve using computational techniques. Specifically, starting from the definition of the derivative... df f(t+dt)-S(t) (dt small) dt dt we can rearrange the equation to become... www f(t+dt)-f(t)+dt-df (dt small) dt In other words,...
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