Q. 6

Mark the correct alternative in each of the following:

The general solution of the differential equation is

A. x + y sinx = C

B. x + y cosx = C

C. y + x (sin x + cos x) = C

D. y sin x = x + C

Answer :

The above equation is of the form i.e. linear differential equation.

Here, P = cot x and Q = cosec x

Integrating factor = e∫ P dx

Considering ∫ P

elog x = x

I.F = sin x

Now, General solution is

y (I.F) = ∫ Q (I.F) dx + C

y sin x = ∫ cosec x sin x dx + C

y sin x = x + C


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