(x^2-20x+51)(dy)/(dx)=y

Lösung

(x^{2} - 20 x + 51) \frac{d y}{d x} = y

y = \frac{c _{1} 14 x - 17}{14 x - 3}

Schritte zur Lösung

(x^{2} - 20 x + 51) \frac{d y}{d x} = y

Solve separable ODE:

y = \frac{c _{1} 14 x - 17}{14 x - 3}

y = \frac{c _{1} 14 x - 17}{14 x - 3}

7 \frac{d y}{d x} + x^{2} y = 0

4 y^{^{'}} + 2 x + 2 c e^{2 y} y^{^{'}} = 0

4 y^{^{'}} - 6 y^{^{'}} + 7 y = 0

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

\frac{1}{8} \frac{d y}{d x} = y 4 x^{2} - 1