(dx)/(dt)+3tx^3+x/t =0

Lösung

\frac{d x}{d t} + 3 t x^{3} + \frac{x}{t} = 0

x = \frac{1}{t ^{2} ( 6 ln ( t ) + c _{1} )}, x = - \frac{1}{t ^{2} ( 6 ln ( t ) + c _{1} )}

Schritte zur Lösung

\frac{d x}{d t} + 3 t x^{3} + \frac{x}{t} = 0

Solve Bernoulli ODE:

x = \frac{1}{t ^{2} ( 6 ln ( t ) + c _{1} )}, x = - \frac{1}{t ^{2} ( 6 ln ( t ) + c _{1} )}

x = \frac{1}{t ^{2} ( 6 ln ( t ) + c _{1} )}, x = - \frac{1}{t ^{2} ( 6 ln ( t ) + c _{1} )}

\frac{\partial}{\partial x} (3 x^{2} + 2 x y - y^{2})

x y^{^{'}} + 2 y = 3 e^{x}

d er i v a t i v e - \frac{3}{5000} r^{3} + \frac{9}{50} r^{2}

d er i v a t i v e \frac{( x ^{2} - x - 2 )}{( x ^{2} - 6 x + 9 )}

x \to 9 + lim (x^{2} + 5 x + 7)