3(2+x^2)(dy)/(dx)=2xy(y^3-1)

Lösung

3 (2 + x^{2}) \frac{d y}{d x} = 2 x y (y^{3} - 1)

y = 3 \frac{1}{1 - x ^{2} e ^{3 c_{1}} - 2 e ^{3 c_{1}}}

Schritte zur Lösung

3 (2 + x^{2}) \frac{d y}{d x} = 2 x y (y^{3} - 1)

Solve separable ODE:

y = 3 \frac{1}{1 - x ^{2} e ^{3 c_{1}} - 2 e ^{3 c_{1}}}

y = 3 \frac{1}{1 - x ^{2} e ^{3 c_{1}} - 2 e ^{3 c_{1}}}

y^{^{'}} = 1 + 0.001 y^{2}

x^{^{'}} = 8 x + 3

\frac{d y}{d t} = k y, y (0) = y

\frac{d y}{d x} = - \frac{y ^{2}}{e}

(x + x^{2}) y^{^{'}} y = y^{2} - 2