Q. 36 C5.0( 2 Votes )

Solve each of the following initial value problems

,y(1) = 0

Answer :

,y(1) = 0


It is a homogeneous equation


Put y = vx


And


So,





Integrating both sides we get,




– cos v = – log x + c


put value of v,


– cos = – log x + c …… (1)


Put y = 0, x = 1,We have


c = – 1


Now,


– cos = – log x – 1


log x = cos – 1


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