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:

⇒log|y| = log|secx| + logc

⇒log|y| - log|secx| = logc

⇒log|y| + log|cosx| = logc

⇒ycosx = c

y = 1 when x = 0

∴1×cos0 = c

∴c = 1

⇒ycosx = 1

⇒y = 1/cosx

⇒y = secx

Ans: y = secx