(x+20)(dy)/(dx)=(y-18)

Lösung

(x + 20) \frac{d y}{d x} = (y - 18)

y = e^{c_{1}} x + 20 e^{c_{1}} + 18

Schritte zur Lösung

(x + 20) \frac{d y}{d x} = (y - 18)

Solve separable ODE:

y = e^{c_{1}} x + 20 e^{c_{1}} + 18

y = e^{c_{1}} x + 20 e^{c_{1}} + 18

y^{^{'}} = x e^{(y - x^{2})}

y - 8 y^{^{'}} + 16 y = 0

2 (x y + x) y^{^{'}} = y

(1 + e^{x}) (\frac{d y}{d x}) + e^{x} y = 0

y^{^{'}} - y = 0, y (0) = 1