Find the particular solution of the differential equation given that y = 1 when x = 1.

Question

Philoid · Accepted Answer

⇒ the given differential equation is a homogenous equation.

The solution of the given differential equation is :

Put y = vx

⇒

Integrating both the sides we get:

Resubstituting the value of y = vx we get

y = 1 when x = 1

1 + 0 = - 0 + c

⇒ c = 1

⇒ = 1

Ans: = 1