Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 1 of Exercise 9.2

Listen NCERT Audio Books - Kitabein Ab Bolengi

1

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

y = ex + 1 : y′′ – y′ = 0

It is given that y = ex + 1

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



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



y” = ex


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


y” – y’ = ex - ex = RHS.


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


1

Chapter Exercises

More Exercise Questions