(dy)/(dx)7x^3+7y^3-3xy=0

Lösung

\frac{d y}{d x} 7 x^{3} + 7 y^{3} - 3 x y = 0

y = \frac{3 2 x}{49 x + 42 + 18 c _{1} e ^{\frac{6}{7 x}} x}, y = - \frac{3 2 x}{49 x + 42 + 18 c _{1} e ^{\frac{6}{7 x}} x}

Schritte zur Lösung

\frac{d y}{d x} 7 x^{3} + 7 y^{3} - 3 x y = 0

Solve Bernoulli ODE:

y = \frac{3 2 x}{49 x + 42 + 18 c _{1} e ^{\frac{6}{7 x}} x}, y = - \frac{3 2 x}{49 x + 42 + 18 c _{1} e ^{\frac{6}{7 x}} x}

y = \frac{3 2 x}{49 x + 42 + 18 c _{1} e ^{\frac{6}{7 x}} x}, y = - \frac{3 2 x}{49 x + 42 + 18 c _{1} e ^{\frac{6}{7 x}} x}

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