Q29 of 29 Page 9

Find the particular solution of the differential equation given that y = 0 when x = 1.[CBSE 2017]

The given equation is



This is a homogenous equation.


Now put y = vx


differentiate w.r.t x



∴ (1) becomes








Integrating both sides, we get-








put v = y/x





Now put y = 0 and x = 1





put the value of C in (2), we have-



This is the particular solution.

More from this chapter

All 29 →
25

Solve the differential equation (x2 – y2) dx + 2xydy = 0.

OR


Find the particular solution of the differential equation , given that y = 0 when x = 1.[CBSE 2018]

 26

Find the particular solution of the differential equation y ≠ 0 given that x = 0 when [CBSE 2013]

 27

In each of the question, show that the given differential equation is homogeneous and solve each of them.

(x2 + xy)dy = (x2 + y2)dx [CBSE 2013]

 28

Solve the differential equation :

(tan-1 y – x)dy = (1 + y2)dx.


OR


Find the particular solution of the differential equation


given that y = 1, when x = 0.[CBSE 2015]