Question

Write down a homogeneous second-order linear differential equation with constant coefficients whose solutions are: a. e^-xcos(x)...

Write down a homogeneous second-order linear differential equation with constant coefficients whose solutions are:

a. e^-xcos(x) , e^-xsin(x)

b. x , e^x

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Second-Order Linear Non-homogeneous with Constant Coefficients: Find the general solution to the following differential equation, using...
Second-Order Linear Non-homogeneous with Constant Coefficients: Find the general solution to the following differential equation, using the Method of Undetermined Coefficients. y''− 2y' + y = 4x + xe^x
find a homogeneous linear differential equation with constant coefficients whose general solution is given: c1e^(x)sin4x+c2e^(x)cos4x
find a homogeneous linear differential equation with constant coefficients whose general solution is given: c1e^(x)sin4x+c2e^(x)cos4x
Show that if two solutions of a second order homogeneous differential equation with continuous coefficients on...
Show that if two solutions of a second order homogeneous differential equation with continuous coefficients on I have a common zero then all their zeros are in common
A second order homogeneous linear differential equation has odd-even parity. Prove that if one of its...
A second order homogeneous linear differential equation has odd-even parity. Prove that if one of its solutions is an even function, the other can be constructed as an odd function.
The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real,...
The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real, constant cocfficients that is satisfied by the given function: a) y=4e^2x+3e^-x b) y=x^2-5sin3x c) y=-2x+1/2e^4x d) y=xe^-xsin2x+3e^-xcos2x
1. If x1(t) and x2(t) are solutions to the differential equation x" + bx' + cx...
1. If x1(t) and x2(t) are solutions to the differential equation x" + bx' + cx = 0 is x = x1 + x2 + c for a constant c always a solution? Is the function y= t(x1) a solution? Show the works 2. Write sown a homogeneous second-order linear differential equation where the system displays a decaying oscillation.
Write the second order differential equation as a system of two linear differential equations then solve...
Write the second order differential equation as a system of two linear differential equations then solve it. x''-6x'+13x=0 x(0)= -1  x'(0)=1
What are the contributions of the homogeneous and particular solutions to a linear 1st order Ordinary...
What are the contributions of the homogeneous and particular solutions to a linear 1st order Ordinary Differential Equation?
3. Consider a second order linear homogeneous equation Ay'' + By' + Cy = 0 Suppose...
3. Consider a second order linear homogeneous equation Ay'' + By' + Cy = 0 Suppose that e^at, e^bt and e^ct are solutions (where a, b, c are constants). A. Show that e^at + e^bt + e^ct is also a solution. B. Show that two of the numbers among a, b, c are equal.
For the below ordinary differential equation, state the order and determine if the equation is linear...
For the below ordinary differential equation, state the order and determine if the equation is linear or nonlinear. Then find the general solution of the ordinary differential equation. Verify your solution. x dy/dx+y=xsin(x) Please no handwriting unless I can read it.