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Beliebt Rechnen >

y^{'''}-13y^{''}+46y^'-48y=0

Lösung

y^{^{'''}} - 13 y^{^{''}} + 46 y^{^{'}} - 48 y = 0

Lösung

y = c_{1} e^{2 t} + c_{2} e^{3 t} + c_{3} e^{8 t}

Schritte zur Lösung

y^{'''} (t) - 13 y^{''} (t) + 46 y^{'} (t) - 48 y = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{3 t} + c_{3} e^{8 t}

y = c_{1} e^{2 t} + c_{2} e^{3 t} + c_{3} e^{8 t}

Graph

Beliebte Beispiele

y^{''}+ay=0,y^'(0)=0

y^{^{''}} + a y = 0, y^{^{'}} (0) = 0

y^{^{''}} + 5 y + 4 y = 0

1/4 (d^2x)/(dt^2)+(dx)/(dt)+x=0

\frac{1}{4} \frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 0

9y^{''}-18y^'+34y=0

9 y^{^{''}} - 18 y^{^{'}} + 34 y = 0

y^{''}+49/3 y=0,y(0)= pi/8 ,y^'(0)=0

y^{^{''}} + \frac{49}{3} y = 0, y (0) = \frac{π}{8}, y^{^{'}} (0) = 0