Q. 105.0( 1 Vote )

Solve the following differential equations:

Answer :

Now separating variable x on one side and variable y on other side, we have

Using identities:

and on RHS side assuming ey = t, so eydy = dt by differentiating both sides.

Now integrating both sides

– log |sin(x)| = log(t+1) + c

Replacing t by ey

– log |sin(x)| = log(ey+1) + c

[sin(x)] (ey+1) = c

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