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

Lösung

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

y = \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}, y = - \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}, y = - \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}

y = \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}, y = - \frac{x ^{\frac{8}{3}} + c _{1}}{2 x ^{\frac{1}{3}}}

\int 10 x sec^{2} (x) d x

x \to - 6 lim (\frac{x ^{2} - 1}{6 - x})

\frac{d}{d x} (\frac{e ^{3 x^{2}}}{5 x})

d er i v a t i v e f (x) = 16 4 x

\int \frac{sin ^{7} ( 10 x )}{cos ^{4} ( 10 x )} d x