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Problem 5: Find the general solution to the following differential equation using the method of variation of parameters: x^{2} y^{\prime \prime}+x y^{\prime}+\left(x^{2}-\frac{1}{4}\right) y=x^{\frac{3}{2}} given that the complementary solution on(0, 0)

is given by y_{c}=c_{1} x^{-\frac{1}{2}} \cos (x)+c_{2} x^{-\frac{1}{2}} \sin (x)

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