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Beliebt Rechnen >

y^{''}-11y^'+24y=2,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} - 11 y^{^{'}} + 24 y = 2, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = (\frac{1}{3} - \frac{1}{12}) e^{8 t} - \frac{1}{3} e^{3 t} + \frac{1}{12}

Schritte zur Lösung

y^{''} (t) - 11 y^{'} (t) + 24 y = 2

Solve linear ODE:

y = (\frac{1}{3} - \frac{1}{12}) e^{8 t} - \frac{1}{3} e^{3 t} + \frac{1}{12}

y = (\frac{1}{3} - \frac{1}{12}) e^{8 t} - \frac{1}{3} e^{3 t} + \frac{1}{12}

Graph

Beliebte Beispiele

y^{''}+2y^'+10y=10x+2

y^{^{''}} + 2 y^{^{'}} + 10 y = 10 x + 2

y^{'''}+3y^{''}-7y^'+2y=3x+10sin(x)

y^{^{'''}} + 3 y^{^{''}} - 7 y^{^{'}} + 2 y = 3 x + 10 sin (x)

y^{''}+2y^'+y=(2+1)te^{(-t)}

y^{^{''}} + 2 y^{^{'}} + y = (2 + 1) t e^{(- t)}

y^{''}-4y^'+4y=x^2e^2x-e^2x

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{2} e^{2} x - e^{2} x

(d^2x)/(dt^2)+x=2sin(t)

\frac{d ^{2} x}{d t ^{2}} + x = 2 sin (t)