Mathematics Part-II

Book: Mathematics Part-II

Chapter: 9. Differential Equations

Subject: Maths - Class 12th

Q. No. 14 of Exercise 9.5

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14

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

y = 0 when x = 1




Here, putting x= kx and y = ky




= k0.f(x,y)


Therefore, the given differential equation is homogeneous.




To solve it we make the substitution.


y = vx


Differentiating eq. with respect to x, we get







Integrating both sides, we get



- cosv = - logx + C



y = 0 when x = 1



- 1 = C





The required solution of the differential equation.


14

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