If y=extan-1x ,then prove that (1+x2)d2y/dx2-2(1-x+x2)dy/dx +(1-x)2y=0 - Maths - Differential Equations

Question

If y=extan-1x ,then prove that
(1+x2)d​2y/dx2-2(1-x+x2)dy/dx
+(1-x)2y=0

Pooja Khanna · Accepted Answer

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If y=extan-1x ,then prove that (1+x2)d​2y/dx2-2(1-x+x2)dy/dx +(1-x)2y=0