(e^y+6x)dx+xe^ydy=0

Lösung

(e^{y} + 6 x) d x + x e^{y} d y = 0

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

Schritte zur Lösung

(e^{y} + 6 x) d x + x e^{y} d y = 0

Solve exact ODE:

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

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

x \to \frac{1}{2} lim (4 x^{2} - 8 x + 5)

\int \frac{2}{1 - ( 2 x ) ^{2}} d x

d er i v a t i v e y = 5 x^{8} e^{x}

\int (2 x + 3 x^{\frac{1}{2}}) x^{\frac{1}{3}} d x

1 - 8 x^{2} y^{^{'}} = x