Solve the following initial value problem:

Given:

Find: Find the particular solution of this differential equation.

=

=

Integrating both sides,

=

= .....(i)

Put x = 1 and y= -2 in equation (i), we get

= 2 log(1) = y + 3 – 3log(-2 + 3) + C

= 0 = 1- 0 + C

= C = -1

Put the value of C in equation (i), we get

=

=

=

Hence,