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Beliebt Rechnen >

(t^2-20t+51)(dy)/(dt)=y

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

1/(2sqrt(x))+1/(2sqrt(y))(dy)/(dx)=0

\frac{1}{2 x} + \frac{1}{2 y} \frac{d y}{d x} = 0

e^{2t}(dx)/(dt)=cos^2(x)

e^{2 t} \frac{d x}{d t} = cos^{2} (x)

x(dy)/(dx)-y=6x^9y

x \frac{d y}{d x} - y = 6 x^{9} y

u^'=e^{6\H(t)+9t}

u^{^{'}} = e^{6 H (t) + 9 t}

4y^'+2y=120,y(0)=1

4 y^{^{'}} + 2 y = 120, y (0) = 1