(dx)/(dt)= 1/(xe^{t+11x)}

Lösung

\frac{d x}{d t} = \frac{1}{x e ^{t + 11 x}}

x = \frac{W ( \frac{- e ^{- t} \cdot 121 + c _{1}}{e} )}{11} + \frac{1}{11}

Schritte zur Lösung

\frac{d x}{d t} = \frac{1}{x e ^{t + 11 x}}

Solve separable ODE:

x = \frac{W ( \frac{- e ^{- t} \cdot 121 + c _{1}}{e} )}{11} + \frac{1}{11}

x = \frac{W ( \frac{- e ^{- t} \cdot 121 + c _{1}}{e} )}{11} + \frac{1}{11}

y^{^{'}} = 2 y e^{t}

10 - x^{2} y^{^{'}} = e^{6 y} sin (x)

y^{^{'}} + (x + 4) y = 0

\frac{d x}{d y} - 2 x = 6

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