4(dy)/(dx)+y^2=4

Lösung

4 \frac{d y}{d x} + y^{2} = 4

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

Schritte zur Lösung

4 \frac{d y}{d x} + y^{2} = 4

Solve separable ODE:

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

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

\frac{d y}{d x} = 3 y (1 - \frac{y}{6})

\frac{d x}{d t} + x = 0

\frac{d y}{5 x + 2} - \frac{d x}{2 y - 1} = 0

y^{^{'}} + 0.5 y = 1

y^{^{'}} + t y = y, y (1) = 3