Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 2 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 = x2 + 2x + C : y′ – 2x – 2 = 0

It is given that y = x2 + 2x + C

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



y’ = 2x + 2


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


y’ – 2x -2 = 2x + 2 – 2x - 2 = 0 = RHS.


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


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