e^y(dy)/(dx)-x^2=0

Lösung

e^{y} \frac{d y}{d x} - x^{2} = 0

y = ln (\frac{x ^{3}}{3} + c_{1})

Schritte zur Lösung

e^{y} \frac{d y}{d x} - x^{2} = 0

Solve separable ODE:

y = ln (\frac{x ^{3}}{3} + c_{1})

y = ln (\frac{x ^{3}}{3} + c_{1})

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

\frac{d y}{d x} = (\frac{5 y}{x})

y^{^{'}} - 2 y + 3 = 0

\frac{d v}{d x} = g - k v (x)

y^{^{'}} = 4 x^{2} y + 5 x y