Determine whether the given differential equation is Exact or not exact. If it is exact, solve it directly. If it not exact, solve it by finding the appropriate integrating factor.

lets take a differential equation

taking derivative of M w.r.t y and N w.r.t x

so this is an in exact equation we will find integrating factor and make it exact equation

so 1/y is our integrating factor multiply it by the equation we will get an exact equation:

take derivative

now solving this exact equation

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