Q17 of 26 Page 1

Find the particular solution of the differential equation given that when

Given equation:


2yex/ydx + (y - 2yex/y)dy = 0


⇒ …(1)


Let


⇒


Then,


⇒


Let x = vy


Differentiating wrt y, we get


⇒


Substituting the value of x and dx/dy in eqn(1), we get


⇒


⇒


⇒


⇒


⇒


⇒


Substituting the value of v, we get


⇒ …(2)


Substituting x = 0 and y = 1 in equation (2), we get


⇒


Substituting the value of C in equation (2), we get


⇒


Which is the particular solution of the given differential equation.


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Find the particular solution of the differential equation : given that when

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OR


Find :