Question

Solve the system by changing to D notation and assigning only two arbitrary parameters C1, C2...

Solve the system by changing to D notation and assigning only two arbitrary parameters C1, C2

dx/dt=-y

dy/dt=x

Homework Answers

Answer #1

here, method of elimination is used to solve the system of differential equations

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
utility function over consumption today (c1) and consumption tomorrow (c2): U(c1, c2) = log(c1) + blog(c2)...
utility function over consumption today (c1) and consumption tomorrow (c2): U(c1, c2) = log(c1) + blog(c2) where 0 < b < 1 and log denotes the natural logarithm Let p1 denote the price of c1 and p2 denote the price of c2. Assume that income is Y. Derive Marshallian demand functions for consumption today (c1) and consumption tomorrow (c2). What happens to c1 and c2 as b approaches 0? {Math hint: if y = log(x), dy/dx = 1/x}
Please show all steps, thank you! a) Verify that the functions below solve the system: x(t)...
Please show all steps, thank you! a) Verify that the functions below solve the system: x(t) = c1e^5t + c2e^-t y(t) = 2c1e^5t - c2e^-t Do not solve the system dx/dt = x + 2y dy/dt = 4x +3y b) Solve the system using Operator D elimination. Write the answer both in scalar and vector form. Please show all steps! dx/dt = x + 2y dy/dt = 4x + 3y
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
2. Solve the system of equations using two methods: (1) directly by the eigenvalue method and...
2. Solve the system of equations using two methods: (1) directly by the eigenvalue method and (2) by elimination method. (dx/dt)=-2x+y ; (dy/dt)=-2y
Use the Laplace transform to solve the given system of differential equations. dx dt = −x...
Use the Laplace transform to solve the given system of differential equations. dx dt = −x + y dy dt = 2x x(0) = 0, y(0) = 2
Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y′′+9y=sec(3x). a. Find...
Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y′′+9y=sec(3x). a. Find the most general solution to the associated homogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. b. Find a particular solution to the nonhomogeneous differential equation y′′+9y=sec(3x). c. Find the most general solution to the original nonhomogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants.
Solve the given system of differential equations by systematic elimination. 2 dx/dt − 6x + dy/dt...
Solve the given system of differential equations by systematic elimination. 2 dx/dt − 6x + dy/dt = e^t dx/dt − x + dy/dt = 6e^t
Use the Laplace transform to solve the given system of differential equations. dx/dt=x-2y dy/dt=5x-y x(0) =...
Use the Laplace transform to solve the given system of differential equations. dx/dt=x-2y dy/dt=5x-y x(0) = -1, y(0) = 6
Solve the system of differential equations using laplace transformation dy/dt-x=0,dx/dt+y=1,x(0)=-1,y(0)=1
Solve the system of differential equations using laplace transformation dy/dt-x=0,dx/dt+y=1,x(0)=-1,y(0)=1