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

Chapter Exercises

Exercise 9.1
Exercise 9.2
Exercise 9.3
Exercise 9.4
Exercise 9.5
Exercise 9.6
Miscellaneous Exercise

More Exercise Questions

1

For each of the differential equations given in question, find the general solution:
2

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3

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4

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5

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6

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7

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8

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9

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10

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11

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12

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13

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14

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15

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16

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17

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18

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19

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is