?In each of the following problems, two linearly independent solutions— \(y_{1}\) and
Chapter 7, Problem 85(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.
\(x^{2} y^{\prime \prime}-2 y=10 x^{2}-1\) , \(y_{1}(x)=x^{2}\) , \(y_{2}(x)=x^{-1}\)
Text Transcription:
y_1
y_2
x^2 y^prime prime-2y=10x^2-1
y_1(x)=x^2
y_2(x)=x^-1
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