(dy)/(dx)=((2x+xy^2)/(4y+yx^2))

Lösung

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

y = 4 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 2, y = - 4 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 2

Schritte zur Lösung

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

Solve separable ODE:

y = 4 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 2, y = - 4 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 2

y = 4 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 2, y = - 4 e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 2

\frac{d y}{d x} = x y^{2}, y (1) = 1

y^{^{'}} - 5 x^{3} e^{y} = 0

\frac{d y}{d x} = 1 y + y^{2}

y^{^{'}} = 0.5 (y e^{x})^{\frac{1}{3}}

y^{^{'}} y = 2 x + 1, y (0) = 1