Q. 215.0( 1 Vote )

Solve the following differential equations :

xdy = (2y + 2x4 + x2)dx

Answer :

(i) If a differential equation is ,

then y(I.F) = ∫Q.(I.F)dx + c, where I.F = e∫Pdx


This is a linear differential equation, comparing it with


Q = 2x3 + x

I.F = e∫Pdx

= e–2logx


Solution of the equation is given by

y(I.F) = ∫Q.(I.F)dx + c

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