y^'=(6e^{2x})/(e^y)

Lösung

y^{^{'}} = \frac{6 e ^{2 x}}{e ^{y}}

y = ln (3 e^{2 x} + c_{1})

Schritte zur Lösung

y^{'} (x) = \frac{6 e ^{2 x}}{e ^{y}}

Solve separable ODE:

y = ln (3 e^{2 x} + c_{1})

y = ln (3 e^{2 x} + c_{1})

y^{^{'}} = \frac{1 + x}{y}, y (0) = 5

y^{^{'}} sin (y) = 1

\frac{d x}{d t} = x^{2} + \frac{1}{16}, x (0) = 6

\frac{d v}{d x} = 9 + 16 v^{2}

y^{^{'}} + \frac{2 x y ^{2} + 2 y}{2 x ^{2} y + 2 x} = 0