Question: help me please ' Find the solution to the initial value problem, xzy + xy' y = 0; y(1) = 0, y'(1) = 1 by

help me please

' Find the solution to the initial value problem, xzy\" + xy' y = 0; y(1) = 0, y'(1) = 1 by first showing that the functions x, 1/x form a fundamental set for the differential equation. Find the solution to the initial value problem, 3'" 4}" + 13y = 0; y(0) = 0,y'(0) = 1. ' Find the general solution of the differential equation, xzy\" + xy' y = 2x for x > 0 by first showing that the function 31,, = %x + xln(x) is a particular solution for the differential equation. Hint: See # 1 Find the solution to the initial value problem, 1 II Zy +y'+y=x2 2x; y(0) = 4, y'(0) = 2

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