y^'= x/(ye^{y+x^2)}

Lösung

y^{^{'}} = \frac{x}{y e ^{y + x^{2}}}

y = W (\frac{- e ^{- x^{2}} + c _{1}}{2 e}) + 1

Schritte zur Lösung

y^{'} (x) = \frac{x}{y e ^{y + x^{2}}}

Solve separable ODE:

y = W (\frac{- e ^{- x^{2}} + c _{1}}{2 e}) + 1

y = W (\frac{- e ^{- x^{2}} + c _{1}}{2 e}) + 1

(x y)^{2} y^{^{'}} = \frac{x + 5}{y}

y^{^{'}} = \frac{x}{y - 1}

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

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

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