Solve the following initial value problem:
Find: Find the particular solution of this differential equation.
On equating we get,
= cos y dy = ex dx
Integrating both side
=
= sin y = ex + C …..(i)
Put x = 0, y = π/2
=
= 1 = 1 + C
= C = 0
Put the value of C in equation (i)
Sin y = ex
Hence, y = sin-1(ex)