Question

y''+y'-20y=xe^3x+e^4x

Find the general solution.

Answer #1

Find the general solution to y''+6y'+9y=e^-3x

Use the elimination method to find a general solution for the
linear system: x'=3x-4y y'=4x-7y

FIND THE GENERAL SOLUTION step by step y"+6*y'+9*y=3*e^-3x

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

Differentiate the function
y=ln(e-x +xe-x)
Find y and y"
y=ln(sec(3x)+tan(3x))
Use logarithmic differentiation to find the derivative
of the function.
y=(cos(9x))x
Use logarithmic differentiation to find the derivative
of the function.
y=(sin(9x))(lnx)

find the homogenous solution
y''-y'-20y=0

Find the general solution to the differential equation
2y'+y=3x

find the general solution to
y''+4y'+4y=4x^2+6e^x

Use undetermined coefficients to find the particular solution
to
y''−9y'+20y=−3936sin(4t)y′′-9y′+20y=-3936sin(4t)

Non homogeneous eq w constant; undetermined coefficients
Find the general solution:
1) y" + 4y' + 4y = xe^−x.
2) y" + 2y' + 5y = e^2x cos x.
Determine a suitable form for a particular solution z = z(x) of
the given equations
1) y" + 2y' = 2x + x^2e^−3x + sin 2x.
2) y" − 5y' + 6y = 2e^2x cos x − 3xe^3x + 5.
3) y" + 5y' + 6y = 2e^2x cos x −...

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