Form a differential equation from the equation y = 2(x² - 1) + ce^-x2.

The given equation is
y = 2 (x² - 1) + c e^-x2 or ye^x2 = 2 (x²1) e^x2 + c
Differentiating both sides w.r.t. x, we get.
                     
or          
which is required differential equation.