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Unformatted text preview: y 00 + xf ( x ) yf ( x ) y = 0 , given that y 1 = x is a solution. Here f ( x ) is a arbitrary function. Your answer should involve an integral. 4. Find the general solution of x 2 y 00 + xyy = x 2 ex , given that y 1 = x and y 2 = x1 are solutions of the related homogeneous equation. 5. Find the general solution of 2 x 2 y 00 + 3 xyy = x1 , given that y 1 = x 1 / 2 and y 2 = x1 are solutions of the related homogeneous equation....
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 Fall '08
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 Math

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