(dy)/(dx)=0.125(y-3),y(0)=5

Lösung

\frac{d y}{d x} = 0.125 (y - 3), y (0) = 5

y = 2 e^{0.125 x} + 3

Schritte zur Lösung

\frac{d y}{d x} = 0.125 (y - 3)

Solve separable ODE:

y = 2 e^{0.125 x} + 3

y = 2 e^{0.125 x} + 3

e^{x} \frac{d y}{d x} - sec (y) - x sec (y) = 0

2 y y^{^{'}} + 1 = e^{x - 1}

y^{^{'}} = 8 y - 5

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

2 x y y^{^{'}} = 2, x^{2} + 1 = 0