?In each of the following problems, two linearly independent solutions— \(y_{1}\) and
Chapter 7, Problem 84(choose chapter or problem)
In each of the following problems, two linearly independent solutions— \(y_{1}\) and \(y_{2}\) —are given that satisfy the corresponding homogeneous equation. Use the method of variation of parameters to find a particular solution to the given nonhomogeneous equation. Assume x > 0 in each exercise.
\(x^{2} y^{\prime \prime}+2 x y^{\prime}-2 y=3 x\) , \(y_{1}(x)=x\) , \(y_{2}(x)=x^{-2}\)
Text Transcription:
y_1
y_2
x^2 y^prime prime+2xy^prime-2y=3x
y_1(x)=x
y_2(x)=x^-2
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