(16-x^2)(dy)/(dx)=8y

Lösung

(16 - x^{2}) \frac{d y}{d x} = 8 y

y = \frac{e ^{c_{1}} x + 4 e ^{c_{1}}}{x - 4}

Schritte zur Lösung

(16 - x^{2}) \frac{d y}{d x} = 8 y

Solve separable ODE:

y = \frac{e ^{c_{1}} x + 4 e ^{c_{1}}}{x - 4}

y = \frac{e ^{c_{1}} x + 4 e ^{c_{1}}}{x - 4}

y^{^{'}} - \frac{1}{2 x} y = 0

\frac{d y}{d x} = - \frac{7}{3} x^{4} y^{3}

\frac{d y}{d t} + 3 t y = e^{t} y

(x + 2) y^{^{'}} - x y = 0

e^{y} (5 - x) d x = x y d y