(dx)/(dt)= 1/(xe^{t+9x)}

Lösung

\frac{d x}{d t} = \frac{1}{x e ^{t + 9 x}}

x = \frac{W ( \frac{- e ^{- t} \cdot 81 + c _{1}}{e} )}{9} + \frac{1}{9}

Schritte zur Lösung

\frac{d x}{d t} = \frac{1}{x e ^{t + 9 x}}

Solve separable ODE:

x = \frac{W ( \frac{- e ^{- t} \cdot 81 + c _{1}}{e} )}{9} + \frac{1}{9}

x = \frac{W ( \frac{- e ^{- t} \cdot 81 + c _{1}}{e} )}{9} + \frac{1}{9}

\frac{d y}{d x} = \frac{x ^{5} y}{16 - x ^{6}}

y^{^{'}} = \frac{2 y ^{4} - 2}{( 4 x y ^{3} )}

a y - b y^{^{'}} = 0

\frac{d y}{d x} = 7 x + x y

\frac{d h}{h ^{2}} = - 4 t d t