Find the particular solution, satisfying the given condition, for the following differential equation:

Question

Find the particular solution, satisfying the given condition, for the following differential equation: y = 0 when x = 1

Philoid · Accepted Answer

Given differential equation is

This is a homogenous differential equation,

Put

⇒ y = vx

∴ we have

⇒ log x = - (- cos v) + C

⇒ log x = cos v + C

Now, y = 0, when x = 1

⇒ 0 = - 1 + C

⇒ C = -1

Hence, particular solution is