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GATE Mathematics 2014 Paper

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Question : 34

Total: 55

If y1(x)=x is a solution to the differential equation (1−x2)

+2y=0

y(x)=c1x+c2(x‌ln|1+x2|−1)
y(x)=c1x+c2(
x‌ln
|
1−x
1+x
|+1)
y(x)=c1x+c2(
x
2
‌ln
|1−x2|+1)
y(x)=c1x+c2(
x
2
‌ln
|
1+x
1−x
|−1)

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