(dx)/(dt)= 1/(xe^{t+7x)}

Lösung

\frac{d x}{d t} = \frac{1}{x e ^{t + 7 x}}

x = \frac{W ( \frac{- e ^{- t} \cdot 49 + c _{1}}{e} )}{7} + \frac{1}{7}

Schritte zur Lösung

\frac{d x}{d t} = \frac{1}{x e ^{t + 7 x}}

Solve separable ODE:

x = \frac{W ( \frac{- e ^{- t} \cdot 49 + c _{1}}{e} )}{7} + \frac{1}{7}

x = \frac{W ( \frac{- e ^{- t} \cdot 49 + c _{1}}{e} )}{7} + \frac{1}{7}

(ln (y))^{6} d y = x^{6} y d x, y (1) = e^{2}

\frac{d y}{d x} = 10 e^{x} \cdot y^{2}

2 y y^{^{'}} = 18 t^{2}, y (0) = 5

6 y^{^{'}} + 5 y = 0

\frac{d y}{d x} sin (y) = (6 x^{4} - 6)