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

Lösung

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

v = e^{- 10 x + c_{1}} - 95000, v = - e^{- 10 x + c_{1}} - 95000

Schritte zur Lösung

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

Solve separable ODE:

v = e^{- 10 x + c_{1}} - 95000, v = - e^{- 10 x + c_{1}} - 95000

v = e^{- 10 x + c_{1}} - 95000, v = - e^{- 10 x + c_{1}} - 95000

d x - 3 x y d y = 2 y d y

y^{^{'}} = (4 x + 9) (2 y + 5)

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

y^{^{'}} = \frac{( x ^{2} y ^{2} )}{8} + y^{2}

\frac{d y}{d x} 6 x^{3} y + 2 y = 0