Find the explicit general solution of the differential equation

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Find the explicit general solution

y(x)

of the differential equation

\dfrac{dy}{dx}=(1+x)\,y^{2}

. Express your answer so that no constant of integration remains in a denominator, and identify the

x

-values where the solution is undefined.