(dx)/(dt)+2t^7x^9+x/t =0

Lösung

\frac{d x}{d t} + 2 t^{7} x^{9} + \frac{x}{t} = 0

x = 8 \frac{1}{t ^{8} ( 16 ln ( t ) + c _{1} )}, x = - 8 \frac{1}{t ^{8} ( 16 ln ( t ) + c _{1} )}

Schritte zur Lösung

\frac{d x}{d t} + 2 t^{7} x^{9} + \frac{x}{t} = 0

Solve Bernoulli ODE:

x = 8 \frac{1}{t ^{8} ( 16 ln ( t ) + c _{1} )}, x = - 8 \frac{1}{t ^{8} ( 16 ln ( t ) + c _{1} )}

x = 8 \frac{1}{t ^{8} ( 16 ln ( t ) + c _{1} )}, x = - 8 \frac{1}{t ^{8} ( 16 ln ( t ) + c _{1} )}

ma c l a u r in x \cdot e^{x}

y^{3} d x - x^{3} d y = 0

\int 25 x e^{5 x} d x

\int \frac{4 x}{e ^{3 x}} d x

s l o p e (0.3) (4)