(dy)/(dx)3x^3+3y^3-5xy=0

Lösung

\frac{d y}{d x} 3 x^{3} + 3 y^{3} - 5 x y = 0

y = \frac{5 2 x}{9 x + 30 + 50 c _{1} e ^{\frac{10}{3 x}} x}, y = - \frac{5 2 x}{9 x + 30 + 50 c _{1} e ^{\frac{10}{3 x}} x}

Schritte zur Lösung

\frac{d y}{d x} 3 x^{3} + 3 y^{3} - 5 x y = 0

Solve Bernoulli ODE:

y = \frac{5 2 x}{9 x + 30 + 50 c _{1} e ^{\frac{10}{3 x}} x}, y = - \frac{5 2 x}{9 x + 30 + 50 c _{1} e ^{\frac{10}{3 x}} x}

y = \frac{5 2 x}{9 x + 30 + 50 c _{1} e ^{\frac{10}{3 x}} x}, y = - \frac{5 2 x}{9 x + 30 + 50 c _{1} e ^{\frac{10}{3 x}} x}

\int \frac{t}{a t ^{2} + b} d t

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

s l o p e (- 3, 2), (6, 3)

\int 30 arctan (x) d x

l a pl a ce t r an s f or m 2 sin (3 t)