2(x^2+y^2)dx+(7xy)dy=0

Lösung

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

y = \frac{- 2 x ^{\frac{18}{7}} + c _{1}}{3 x ^{\frac{2}{7}}}, y = - \frac{- 2 x ^{\frac{18}{7}} + c _{1}}{3 x ^{\frac{2}{7}}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{- 2 x ^{\frac{18}{7}} + c _{1}}{3 x ^{\frac{2}{7}}}, y = - \frac{- 2 x ^{\frac{18}{7}} + c _{1}}{3 x ^{\frac{2}{7}}}

y = \frac{- 2 x ^{\frac{18}{7}} + c _{1}}{3 x ^{\frac{2}{7}}}, y = - \frac{- 2 x ^{\frac{18}{7}} + c _{1}}{3 x ^{\frac{2}{7}}}

\int_{0}^{2} \frac{x ^{2}}{x ^{2} + 4} d x

\int (2 - 3 x)^{2} d x

y d x = (y e^{y - 2 x}) d y

d er i v a t i v e f (x) = 6 - 7 x

x \to \infty lim (\frac{5 x + 6 x ^{2}}{3 x - 8})