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Calculate the full homogeneous solution

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Reference no: EM132378937

Question 1. Consider the following initial value problem

x2d2y/ + (x2 - 4x)dy/dx + (6 - 2x)y = 2x4ex, y(1) = e, dy/dx(1) = 3e.

(a) Show that y1 (x) = x2 is a solution of the homogeneous problem.

(b) Use reduction of order to calculate the full homogeneous solution.

(c) Use variation of parameters to find the solution of the non-homogeneous problem.

Reference no: EM132378937

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