Question

Find the general solution to the differential equation

t^2y'' - 2ty' + 2y = 4

Answer #1

find the general solution of the differential equation dy/dt -
2y = t^2 * e^2t

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 given differential
equation.
y'' − y' − 2y = −8t + 6t2
y(t) =

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

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

Find the general solution of the differential equation
y′′ − 2y′ − 3y = ae3t, where a is a constant

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 general solution to the differential equation y′′+ 2y′=
3 + 4 sin 2t.(Hint: Variation of parameters requires integration by
parts, so undetermined coefficientsis recommended—however, be
careful.)

4. Find a particular solution, and the general solution to the
associated homogeneous equation, of the following differential
equations:
a) y'-2y=6
b) y'+y=3e-t

Find the general solution of the following differential
equation:
y^4 - 3y''' + 3y'' - 3y' + 2y = 0

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