For each of the following differential equations, find a particular solution satisfying the given condition :

Question

For each of the following differential equations, find a particular solution satisfying the given condition : it being given that y = 1 when x = 0.

Philoid · Accepted Answer

Rearranging the terms we get:

Integrating both the sides we get:

⇒y ^{- 1} = 2x² + c

y = 1 when x = 0

⇒ (1) ^{- 1} = 2(0)² + c

⇒c = 1

Ans: