9(x^2+y^2)dx+7xydy=0

Lösung

9 (x^{2} + y^{2}) d x + 7 x y d y = 0

y = \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}, y = - \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}

Schritte zur Lösung

9 (x^{2} + y^{2}) d x + 7 x y d y = 0

Solve Bernoulli ODE:

y = \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}, y = - \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}

y = \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}, y = - \frac{- 9 x ^{\frac{32}{7}} + c _{1}}{4 x ^{\frac{9}{7}}}

n = 1 \sum \infty \frac{64}{n ^{3}}

\int \frac{6 x ^{2} - 3 x + 1}{( 4 x + 1 ) ( x ^{2} + 1 )} d x

d er i v a t i v e y = 2^{3 x^{2}}

x \to a lim (\frac{f ( x )}{g ( x )})

\frac{d}{d x} (2 cos (\frac{x}{2}) + π)