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Question

Differential equation having
y=(sin1x)2+A(cos1x)+B where A, B are arbitrary constants as general solution is

A
(1x2)y2xy1=2
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B
(1x2)y2xy1=1
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C
(1x)y2xy1=2
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D
(1x2)y2xy1=4
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Solution

The correct option is A (1x2)y2xy1=2
y=(sin1x)2+A(cos1x)+B

dydx=2(sin1x)11x2+A11x2

1x2y1=2(sin1x)A

1x2y2+y1.121x2(2x)=21x2

(1x2)y2xy1=2

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