y^'-(xsin(x))/(3y^2)=0

Lösung

y^{^{'}} - \frac{x sin ( x )}{3 y ^{2}} = 0

y = 3 - x cos (x) + sin (x) + c_{1}

Schritte zur Lösung

y^{'} (x) - \frac{x sin ( x )}{3 y ^{2}} = 0

Solve separable ODE:

y = 3 - x cos (x) + sin (x) + c_{1}

y = 3 - x cos (x) + sin (x) + c_{1}

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

y^{^{'}} - \frac{y}{( ln ( y ) ) ^{2}} = 0

(3 x^{2} + 2)^{3} \frac{d y}{d x} - x y^{2} = 0, y (0) = 2

\frac{d y}{d t} = 4 (1 - y)^{2}

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