#### Answer

Given function is y= $4x^{2}$.
Differentiating both sides with respect to x, we get $y'=8x$.
Substituting the value of $y'$ in the differential equation, we get
L.H.S= $8x-8x= 0=$R.H.S.
Therefore the given function is a solution of the given differential equation.

#### Work Step by Step

See the verification above.