Question

solve the linear order y' - 2y = cos(3x). solve for y.

Answer #1

SOLVING SYSTEMS OF LINEAR DEs BY ELIMINATION
Solve
Dx=y-1
Dy =2y-3x

Solve the following system of linear equations:
2x+y+z=1
3x+2y+z=2
2x+y+2z=-1

Solve the second-order linear differential equation
y′′ − 2y′ − 3y = −32e−x using the method of variation of
parameters.

solve for x(t) and y(t):
x'=-3x+2y;
y'=-3x+4y
x(0)=0,y(0)=2

Solve the initial value problem y = 3x^2 − 2y, y(0) = 4

Solve the initial value problem y' = 3x^2 − 2y, y(0) = 4

Solve the given differential equation by undetermined
coefficients.
y'' + 2y' + y = 2 cos x − 2x sin x

Solve the following second order differential equations:
(a) Find the general solution of y'' − 2y' = sin(3x) using the
method of undetermined coefficients.
(b) Find the general solution of y'' − 2y'− 3y = te^−t using the
method of variation of parameters.

Solve each system of equations
x-2y+3z=7
2x+y+z=4
-3x+2y-2z=-10

Solve for the general solution
x^4y''''+4x^3y'''+3x^2y''-xy'+y=0

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