Question

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

Answer #1

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

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 system of equations by method of the Laplace
transform:
3 dx/dt + 3x +2y = e^t
4x - 3 dy/dt +3y = 3t
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

Solve the following system of differential equations:
dx/dt =x+2y
dy/dt =−x+3y

Differential Equations: Use the Laplace transform to solve the
given initial value problem:
y′′ −2y′ +2y=cost;
y(0)=1,
y′(0)=0

Solve the system by Laplace Transform:
x'=x-2y
y'=5x-y
x(0)=-1, y(0)=2

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

Solve the system of differential equations using Laplace
transform:
y'' + x + y = 0
x' + y' = 0
with initial conditions
y'(0) = 0
y(0) = 0
x(0) = 1

Solve the following differential equation using Laplace dy/dt
+2y=12sin4t y(0) =10

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