(x^2+(2y)/x)dx=(3-ln(x^2))dy

Lösung

(x^{2} + \frac{2 y}{x}) d x = (3 - ln (x^{2})) d y

y = \frac{x ^{3}}{3 ( 3 - 2 ln ( x ) )} + \frac{c _{1}}{3 - 2 ln ( x )}

Schritte zur Lösung

(x^{2} + \frac{2 y}{x}) d x = (3 - ln (x^{2})) d y

Solve linear ODE:

y = \frac{x ^{3}}{3 ( 3 - 2 ln ( x ) )} + \frac{c _{1}}{3 - 2 ln ( x )}

y = \frac{x ^{3}}{3 ( 3 - 2 ln ( x ) )} + \frac{c _{1}}{3 - 2 ln ( x )}

\frac{d}{d x} ((2 x^{5} - 5 x^{3} + 7 x)^{4})

\int_{1}^{4} x^{2} + 2 x - 5 d x

x \to \infty + lim (\frac{lo g _{4} ( x )}{lo g _{7} ( x )})

\frac{d}{d x} (\frac{x ^{2}}{x ^{3} + 4})

\frac{d y}{d x} = y^{3} x e^{x^{2}}