x-y/(y^')=2x-3x^2

Lösung

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

y = 3 e^{c_{1}} - \frac{e ^{c_{1}}}{x}

Schritte zur Lösung

x - \frac{y}{y ^{'} ( x )} = 2 x - 3 x^{2}

Solve separable ODE:

y = 3 e^{c_{1}} - \frac{e ^{c_{1}}}{x}

y = 3 e^{c_{1}} - \frac{e ^{c_{1}}}{x}

y = 3 sin (x) \frac{d y}{d x}

(1 + e^{x}) \cdot y \cdot y^{^{'}} = e^{x}, y (0) = 1

y^{^{'}} = 0.05 y (1 - \frac{y}{4000})

(x + \frac{x}{y}) d x - d y = 0

\frac{d y}{d x} y = sin^{3} (cos (9 x))