Question

Find the general solution of the equation.

y''-3y'+2y=e^3t

Answer #1

Find a particular solution for:
y” - 3y’ + 2y = te-3t

Find the general solution to y'' - 4y' + 3y = e^t + 3t^2 - 2t +
3

find the general solution:
y''-2y'-3y=4e2t

Find the general solution of the differential equation:
y''' - 3y'' + 3y' - y = e^x - x + 16
y' being the first derivative of y(x), y'' being the second
derivative, etc.

find the general solution by undetermined coefficients method.
y′′-3y′+2y=-9x^2+6x

Use undetermined coefficients to find the particular solution
to
1) y''−2y'+3y= 5t^2+2t+2
yp(t)=?
2) y''+y'−20y= −2550sin(3t)
yp(t)=?

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

(Higher Order DE) Find the general solution of y'''− 2y''− y'+
2y = e^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 following nonhomogeneous
equations:
• y '' − 2y ' + 5y = 25x ^2 + 12
• y ''− 3y ' + 2y = 10 sen 2x
• y '' − 2y ' + y = e^x + e^−2x
• y '' − y = x sen x
• y '' − 6y ' + 9y = 5e^x sen x
• y '' + y ' + y + 1 = sen x +...

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