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

Lösung

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

y = \frac{- x ^{2} 3 x + c _{1}}{7 6 x}, y = - \frac{- x ^{2} 3 x + c _{1}}{7 6 x}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{- x ^{2} 3 x + c _{1}}{7 6 x}, y = - \frac{- x ^{2} 3 x + c _{1}}{7 6 x}

y = \frac{- x ^{2} 3 x + c _{1}}{7 6 x}, y = - \frac{- x ^{2} 3 x + c _{1}}{7 6 x}

\frac{d}{d x} (x + 2 y)

\frac{\partial}{\partial x} (3 cos (x + y))

x \to - 100 lim (3 x^{2})

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

x \to 7 lim (\frac{1}{( x - 7 ) ^{2}})