Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 2 of Exercise 9.6

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2

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 = 3 and Q = )


Now, I.F. =


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


y(I.F.) =




ye3x = ex + C


y = e-2x + Ce-3x


Therefore, the required general solution of the given differential equation is y = e-2x + Ce-3x


2

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