(dx)/(dy)+3x^2y=5x^2

Lösung

\frac{d x}{d y} + 3 x^{2} y = 5 x^{2}

x = - \frac{2}{10 y - 3 y ^{2} + c _{1}}

Schritte zur Lösung

\frac{d x}{d y} + 3 x^{2} y = 5 x^{2}

Solve separable ODE:

x = - \frac{2}{10 y - 3 y ^{2} + c _{1}}

x = - \frac{2}{10 y - 3 y ^{2} + c _{1}}

y^{^{'}} = - x y + x

y^{^{'}} = - 3 x^{2} y^{2}

y^{^{'}} + y = 9

\frac{d y}{d x} + y x^{2} = 0

\frac{d y}{d x} = \frac{x y}{x ^{2} - 3 x + 2}