(dy)/(dx)=c_{1}y+1

Lösung

\frac{d y}{d x} = c_{1} y + 1

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

Schritte zur Lösung

\frac{d y}{d x} = c_{1} y + 1

Solve separable ODE:

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

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

\frac{d v}{d t} = g - k v (t), v = 0, t = 0

\frac{d y}{d x} + 2 y = 11

x^{2} \frac{d y}{d x} = y (3 x + 2)

y^{^{'}} = 5 y e^{t}, y (0) = 1

x^{2} y^{^{'}} = x y^{2}