Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 10 of Exercise 9.6

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10

For each of the differential equations given in question, find the general solution:

It is given that




This is equation in the form of (where, p = -1 and Q = y )


Now, I.F. =


Thus, the solution of the given differential equation is given by the relation:


x(I.F.) =







=> x = - y – 1 + Cey


=> x + y + 1 = Cey


Therefore, the required general solution of the given differential equation is


x + y + 1 = Cey.


10

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