Question

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

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

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 given system of differential equations by systematic
elimination. Dx + D^2y = e^4t
(D + 1)x + (D − 1)y = 2e^4t
(x(t), y(t)) = Incorrect: Your answer is incorrect.

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

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

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

Solve the given system of differential equations by systematic
elimination.
d2x dt2 = 16y + e^t
d2y dt2 = 16x − e^t

1) Solve the given differential equation by separation of
variables.
exy
dy/dx = e−y +
e−6x −
y
2) Solve the given differential
equation by separation of variables.
y ln(x) dx/dy = (y+1/x)^2
3) Find an explicit solution of the given initial-value
problem.
dx/dt = 7(x2 + 1), x( π/4)= 1

Solve the system of differential equations by systematic
elimination.
? ′ = ? - ?
? ′ = ? + ? - 2.

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