Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 13 of Exercise 9.6

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13

For each of the differential equations given in question, find a particular solution satisfying the given condition:

It is given that

This is equation in the form of (where, p = 2tanx and Q =sinx )


Now, I.F. =


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


y(I.F.) =




----------------(1)


Now, it is given that y = 0 at x =



0 = 2 + C


C = -2


Now, Substituting the value of C = -2 in (1), we get,



y = cosx – 2cos2x


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


y = cosx – 2cos2x.


13

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