(dy)/(dx)+5y=50

Lösung

\frac{d y}{d x} + 5 y = 50

y = - e^{- 5 x - c_{1}} + 10

Schritte zur Lösung

\frac{d y}{d x} + 5 y = 50

Solve separable ODE:

y = - e^{- 5 x - c_{1}} + 10

y = - e^{- 5 x - c_{1}} + 10

(t^{2} + 1) y^{^{'}} + t y = 0

\frac{d y}{d x} = 3 y - 2

5 y + 5 + (5 x - 7) \frac{d y}{d x} = 0

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

y^{^{'}} = y^{\frac{1}{2}}