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,


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