Question

Solve the system of differential equations using laplace transformation

dy/dt-x=0,dx/dt+y=1,x(0)=-1,y(0)=1

Answer #1

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

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

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

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).

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

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

Solve the following differential equations.
a.) dy/dx+2xy=x, y(0)=2
b.) ?^2(dy/dx)−?y=−y^2

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