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,