(dv)/(dx)=-475000-5v^2

Lösung

\frac{d v}{d x} = - 475000 - 5 v^{2}

v = tan (5038 (- 5 x + c_{1})) \cdot 5038

Schritte zur Lösung

\frac{d v}{d x} = - 475000 - 5 v^{2}

Solve separable ODE:

v = tan (5038 (- 5 x + c_{1})) \cdot 5038

v = tan (5038 (- 5 x + c_{1})) \cdot 5038

y^{^{'}} - 9 y = 0

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

y^{^{'}} + y = \frac{y}{x}

\frac{d y}{d x} = a - b \cdot y

\frac{d y}{d x} - 3 y = 12