Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 13 of Miscellaneous Exercise

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13

Find a particular solution of the differential equation (x ≠ 0), given that y = 0 when

It is given that

This is equation in the form of (where, p = cotx and Q = 4xcosecx)


Now, I.F. =


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


y(I.F.) =





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


Now, y = 0 at x =


Therefore, equation (1), we get,


0 =


C =


Now, substituting C = in equation (1), we get,


ysinx =


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


ysinx =


13

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