(dy)/(dx)=(e^x)/(e^y),y(0)=0

Lösung

\frac{d y}{d x} = \frac{e ^{x}}{e ^{y}}, y (0) = 0

y = x

Schritte zur Lösung

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

Solve separable ODE:

y = x

y = x

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

y^{^{'}} = - 0.004 y + 50, y (0) = 0

y^{^{'}} = (x + 6) (y - 3), y (0) = 6

\frac{d x}{d y} = x^{6} - x

y^{^{'}} = \frac{x + 5}{y}