Question

Find the general solution of the system dx/dt = 2x + 3y dy/dt = 5y Determine...

  1. Find the general solution of the system

    dx/dt = 2x + 3y

    dy/dt = 5y

    Determine the initial conditions x(0) and y(0) such that the solutions x(t) and y(t) generates a straight line solution. That is y(t) = Ax(t) for some constant A.

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
Find the general solution to the system: dx/dt = -4x + 3y dy/dt = -5x/2 +...
Find the general solution to the system: dx/dt = -4x + 3y dy/dt = -5x/2 + 2y
Consider the following linear system (with real eigenvalue) dx/dt=-2x+7y dy/dt=x+4y find the specific solution coresponding to...
Consider the following linear system (with real eigenvalue) dx/dt=-2x+7y dy/dt=x+4y find the specific solution coresponding to the initial values (x(0),y(0))=(-5,3)
Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y...
Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y Initial conditions: x(0) = 0 y(0) = 2 a) Find the solution to this initial value problem (yes, I know, the text says that the solutions are x(t)= e^3t - e^-t and y(x) = e^3t + e^-t and but I want you to derive these solutions yourself using one of the methods we studied in chapter 4) Work this part out on paper to...
dy/dt = x- (1/2)y dy/dt =2x +3y a)matrix form b)find eigenvalues/eigenvectors c)genreal solution
dy/dt = x- (1/2)y dy/dt =2x +3y a)matrix form b)find eigenvalues/eigenvectors c)genreal solution
1218) y=Ax+Cx^B is the general solution of the first-order homogeneous DEQ: (x-y) dx - 2x dy...
1218) y=Ax+Cx^B is the general solution of the first-order homogeneous DEQ: (x-y) dx - 2x dy = 0. Determine A and B. Also, include a manual solution in your portfolio. ans:2 1220) y=Ax+Dx^B is the particular solution of the first-order homogeneous DEQ: (x-y) = 2xy'. Determine A,B, & D given the boundary conditions: x=7 and y=5. Include a manual solution in your portfolio. ans:3
dx/dt - 3(dy/dt) = -x+2 dx/dt + dy/dt = y+t Solve the system by obtaining a...
dx/dt - 3(dy/dt) = -x+2 dx/dt + dy/dt = y+t Solve the system by obtaining a high order linear differential equation for the unknown function of x (t).
Use the Laplace transform to solve the given system of differential equations. 2 dx/dt + dy/dt...
Use the Laplace transform to solve the given system of differential equations. 2 dx/dt + dy/dt − 2x = 1 dx/dt + dy/dt − 6x − 6y = 2 x(0) = 0, y(0) = 0
Solve the following system of differential equations: dx/dt =x+2y dy/dt =−x+3y
Solve the following system of differential equations: dx/dt =x+2y dy/dt =−x+3y
1. Find the general solution of each of the following differential equations a.) y' − 4y...
1. Find the general solution of each of the following differential equations a.) y' − 4y = e^(2x) b.) dy/dx = 1/[x(y − 1)] c.) 2y'' − 5y' − 3y = 0
Let lambda be an eigenvalue of A in X'=AX of multiplicity n. Find the general solution...
Let lambda be an eigenvalue of A in X'=AX of multiplicity n. Find the general solution of dx/dt = -5x +3y dy/dt = -3x + y Use eigenvalues, eigenvectors, and coefficients in your method.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT