Consider the differential equation y'''' - 4y''' + 5y'' - 4y' + 4y = g(x).

(a) Give the general solution to the corresponding homogeneous equation.

(b) For the g(x) below determine if you can use the Method of Undetermined Coefficients or need Variation of Parameters and give the form for a particular solution. (Do not solve. However, indicate the equations needed if Variation of Parameters.)

i. g(x) = (e^2x) (sin(2x)) + xcos(x)

ii. g(x) = (xe^2x) sin(x)

iii. g(x) = x²e^x + e^2x

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Civen y4y 5y 44 4y Gx Homogenay equation D 4D so4D 4y0 ... View the full answer