Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 2 of Miscellaneous Exercise

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2

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.

y = x sin 3x :

It is given that y = xsin3x


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




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





Now, substituting the value of in the LHS of the given differential equation, we get,



= (6.cos3x – 9xsin3x) + 9xsin3x – 6cos3x


= 0 = RHS


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


2

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