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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d y}{d t} = \frac{k}{y}

(x + 1) y = x y^{^{'}}

\frac{d P}{d t} = P - 10

\frac{1}{y ^{^{'}}} = \frac{2 y}{x}

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