Question

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

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-2y dy/dt=5x-y x(0) = -1, y(0) =
6

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

Given use Laplace transform to solve the following systems of
differential equations.
2x' - y' - z' = 0
x' + y' = 4t + 2
y' + z = t2 + 2
SUBJECT = ORDINARY DIFFERENTIAL EQUATIONS
TOPIC = LAPLACE TRANSFORM

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. d2x dt2 + d2y dt2 = t2 d2x dt2 − d2y dt2 =
3t x(0) = 8, x'(0) = 0, y(0) = 0, y'(0) = 0

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

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 system of ordinary differential
equations.
2 dx/dt − 2 dy /dt − 3x = e (n+1)t
2 dx/dt + 2 dy/dt + 3x + 8y = 2

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