(dy)/(dx)+yx^2=x^2

Lösung

\frac{d y}{d x} + y x^{2} = x^{2}

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 1

Schritte zur Lösung

\frac{d y}{d x} + y x^{2} = x^{2}

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 1

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 1

y^{^{'}} = - (\frac{1}{5}) y^{2}

y^{^{'}} = \frac{cos ^{2} ( x )}{y ^{2}}, y (π) = - 1

y \frac{d y}{d x} = 4 x (y^{2} + 7)^{9}

\frac{d y}{d x} = y - 10

3 x + x y = \frac{d y}{d x}