Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 6 of Exercise 9.2

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In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

y = x sin x : xy′ = y + x (x ≠ 0 and x > y or x < – y)

It is given that y = xsinx

Now, differentiating both sides w.r.t. x, we get,

y’ = sinx + xcosx

Now, Substituting the values of y’ in the given differential equations, we get,

LHS = xy’ = x(sinx + xcosx)

= xsinx + x2cosx

= y +


Therefore, the given function is the solution of the corresponding differential equation.


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