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Question

If y=emsin1x, then (1x2)d2ydx2xdydxky=0, where k is equal to

A
m2
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B
2
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C
1
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D
m2
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Solution

The correct option is A m2
y=emsin1x,dydx=memsin1x1x2=my1x2ddxdydx=m1x2memsin1x1x2+emsin1xx1x21x2(1x2)d2ydx2=m2y+xdydx(1x2)d2ydx2xdydxm2y=0
Comparing this equation with the given equation we have
k=m2

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