3) x³y(3)-3x²y" + 6xy' – 6y = 12x*sin2 () for differential equation a) Find the homogeneous solution. b) Find the special solution of the non-homogeneous equation using the method of change of parameters. c) Find the general solution of the inhomogeneous equation.

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3) x³y(3)-3x²y" + 6xy' – 6y = 12x*sin2 ) for differential equation
a) Find the homogeneous solution.
b) Find the special solution of the non-homogeneous equation using the method of change of
parameters.
c) Find the general solution of the inhomogeneous equation.
Transcribed Image Text:3) x³y(3)-3x²y" + 6xy' – 6y = 12x*sin2 ) for differential equation a) Find the homogeneous solution. b) Find the special solution of the non-homogeneous equation using the method of change of parameters. c) Find the general solution of the inhomogeneous equation.
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