(dy)/(dx)=y(10000-50x)

Lösung

\frac{d y}{d x} = y (10000 - 50 x)

y = e^{10000 x - 25 x^{2} + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = y (10000 - 50 x)

Solve separable ODE:

y = e^{10000 x - 25 x^{2} + c_{1}}

y = e^{10000 x - 25 x^{2} + c_{1}}

81 x^{2} + 2 y \cdot \frac{d y}{d x} = 0

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0, y (6) = \frac{1}{10}

y^{^{'}} - 5 y = 0, y (0) = 3

x d y - (y + 17) d x = 0

(x^{2} - 16 x + 39) y^{^{'}} = y