Find integrating factor of differential equation x(dy/dx) + y = x3. – InterviewSolution

1.

Find integrating factor of differential equation x(dy/dx) + y = x3.

Answer»

Given differential equation may be written as (dy/dx) + (1/x)y = x²

This is linear differential equation of form (dy/dx) + Px = Q

Here, P = 1/x, Q = x²

I.F. = e^∫Pdx= e^{∫(1/x) dx} = e^{log x}

= x

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