Solve the following initial value problem:

The Given equation is

Find: Find the particular solution of this differential equation.

=

=

Integrating both side,

=

=

= C .....(i)

Put y = -1, x = 0

1 = e^{0 +} C

1 = 1 + C

C = 0

Put the value of C in equation (i)

=

Hence, y =