(dy}{dx}+\frac{6y)/x =x

Lösung

\frac{d y}{d x} + \frac{6 y}{x} = x

y = \frac{x ^{2}}{8} + \frac{c _{1}}{x ^{6}}

Schritte zur Lösung

\frac{d y}{d x} + \frac{6 y}{x} = x

Solve linear ODE:

y = \frac{x ^{2}}{8} + \frac{c _{1}}{x ^{6}}

y = \frac{x ^{2}}{8} + \frac{c _{1}}{x ^{6}}

x \to 4 lim (arctan (\frac{x ^{2} - 16}{7 x ^{2} - 28 x}))

\int \frac{1}{( 2 x + 1 )} d x

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

(sin (x) cos (y)) d x + (cos (x) sin (y)) d y = 0

d er i v a t i v e - x^{4} - 6 x^{3} + 8 x - 6