3e^x tan y dx + (1 + e^x) sec^2y dy = 0, when x = 0, y = π

Question

For the following differential equation, find the particular solution satisfying the given condition:

3e^x tan y dx + (1 + e^x) sec²y dy = 0, when x = 0, y = π

Answer 1

3e^x tan y dx + (1 + e^x) sec²y dy = 0

Integrating both sides, we get

Each of these integrals is of the type

\(\therefore\) the general solution is