Question

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

Answer #1

Find the particular solution of the differential equation: y "+ 2y
'+ y = 3x + 5 + 4e^-x

a) Find the general solution of the differential equation
y''-2y'+y=0
b) Use the method of variation of parameters to find the general
solution of the differential equation y''-2y'+y=2e^t/t^3

find the general solution of the differential equation:
y''+2y'+4y=xcos3x

Find the general solution of the given differential
equation.
y'' − y' − 2y = −8t + 6t2
y(t) =

Find the general solution of the given differential
equation.
(2 + 3x)^2 y'' − 3(2 + 3x)y' + 9y = 81x x > −
2/3

Find a particular solution for the differential equation by
variation of parameters.
y''- y' -2y = e^3x , y(0) = -3/4 , y'(0)=15/4

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.

Find the general solution of the differential equation: y' + 2y
= 2sin (4t) Use lower case c for the constant in your answer.

find the general solution of the differential equation: y' + 2y
= te^−4t. Use lower case c for the constant in your answer.
y(t) = _________________

Find the complete solution to the following differential
equations.
a) y''+2y'-y=10
b) 2y''- y = 3x^2

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