Q. 45 G5.0( 2 Votes )

Solve the following initial value problem:


Answer :

Given:


Find: Find the particular solution of this differential equation.


=


=


= y – 2 log|y + 2| = x + 2 log|x| + C


= y – 2 log|y + 2| - x - 2 log|x| = C


Put x =1, y = -1


= -1 -1-2log(-1 + 2) – 2log 1 = C


= -2 = C


Thus, we have


Hence, Y – x – 2log(y + 2) - 2log x = -2


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