6(x^2+y^2)dx+5xydy=0

Lösung

6 (x^{2} + y^{2}) d x + 5 x y d y = 0

y = \frac{- 6 x ^{\frac{22}{5}} + c _{1}}{11 x ^{\frac{6}{5}}}, y = - \frac{- 6 x ^{\frac{22}{5}} + c _{1}}{11 x ^{\frac{6}{5}}}

Schritte zur Lösung

6 (x^{2} + y^{2}) d x + 5 x y d y = 0

Solve Bernoulli ODE:

y = \frac{- 6 x ^{\frac{22}{5}} + c _{1}}{11 x ^{\frac{6}{5}}}, y = - \frac{- 6 x ^{\frac{22}{5}} + c _{1}}{11 x ^{\frac{6}{5}}}

y = \frac{- 6 x ^{\frac{22}{5}} + c _{1}}{11 x ^{\frac{6}{5}}}, y = - \frac{- 6 x ^{\frac{22}{5}} + c _{1}}{11 x ^{\frac{6}{5}}}

\frac{d}{d y} (\frac{y}{x + y + z})

d er i v a t i v e 7 x - 2 x

t an g e n t y = x^{2} + 9, (4, 25)

\frac{d}{d x} (arctan (x^{3} - x))

n or ma l cos (t) + t sin (t), at t = π