x^2(dy)/(dx)=5y

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d x}{d t} = 14 - 0.84 x

2 x + 4 y \frac{d y}{d x} - c = 0

\frac{d y}{d x} = (y + 5) (2 x + 1)

\frac{d y}{d x} = 0.32 y

\frac{d y}{d x} = (1 + 2 \cdot x) \cdot y