Given $y_{1)=\frac{1}{x-1)$ and $y_{2}=\frac{1}{x+1}$ satisfy the corresponding homogeneous equation of $$ \left(x^{2)-1\right) y^{\prime \prime}+4 x y^{\prime)+ y=-\frac{1}{x+1) $$ Use variation of parameters to find a particular solution $y {p}=u_{1} y-{1)+u_{2} y_(2)$ $$ y_{p) = $$ SP.PC.088|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given $y_{1)}=\frac{1}{x-1)$ and $y_{2}=\frac{1}{x+1}$
satisfy the corresponding homogeneous equation of
$$
\left(x^(2)-1\right) y^{\prime \prime}+4 x y^{\prime}+
y=-\frac{1}{x+1)
$$
Use variation of parameters to find a particular
solution $y {p}=u_{1} y-{1)+u_{2} y_(2)$
$$
y_{p) =
$$
SP.PC.088|
Transcribed Image Text:Given $y_{1)}=\frac{1}{x-1)$ and $y_{2}=\frac{1}{x+1}$ satisfy the corresponding homogeneous equation of $$ \left(x^(2)-1\right) y^{\prime \prime}+4 x y^{\prime}+ y=-\frac{1}{x+1) $$ Use variation of parameters to find a particular solution $y {p}=u_{1} y-{1)+u_{2} y_(2)$ $$ y_{p) = $$ SP.PC.088|
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