ye^{xy}dx+xe^{xy}dy=0

Lösung

y e^{x y} d x + x e^{x y} d y = 0

y = \frac{c _{1}}{x}

Schritte zur Lösung

y e^{x y} d x + x e^{x y} d y = 0

Solve linear ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

\frac{d}{d x} (\frac{a}{b x ^{2}})

d er i v a t i v e 2 x

in v erse l a pl a ce \frac{( s - 10 )}{( s ^{2} - 2 s - 3 )}

im pl i c i t \frac{d y}{d x}, x^{6} - 5 x y^{3} = 9 x y

x \to 0 lim (arctan (\frac{1}{x}))