Q. 235.0( 3 Votes )

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Answer :

Before starting solving the differential equation, we should know the type of differential equation.

This is the linear type differential equation,


y dx – (x + 2y2)dy = 0


It is of the form + Rx = S where R and S are either constants or function of y.


To solve these type of equations, we need first to find the integrating factor which is = and multiply both sides of the general form of the equation and after that integrate the whole equation.


First, convert the given equation in general form equation,



R = and S = 2y


Now find the I.F. =


Multiplying both sides by I.F. we get,




Integrating both sides with respect to y, we get,





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