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Beliebt Rechnen >

y^{''}-8y^'+3y=0

Lösung

y^{^{''}} - 8 y^{^{'}} + 3 y = 0

Lösung

y = c_{1} e^{(4 + 13) t} + c_{2} e^{(4 - 13) t}

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 3 y = 0

Solve linear ODE:

y = c_{1} e^{(4 + 13) t} + c_{2} e^{(4 - 13) t}

y = c_{1} e^{(4 + 13) t} + c_{2} e^{(4 - 13) t}

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+6(dx)/(dt)+9x=0

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 9 x = 0

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

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

y^{''''}+y^{''}+9y=0

y^{^{''''}} + y^{^{''}} + 9 y = 0

y^{''}-7y^'+10y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 7 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

4 x^{^{''}} + 2 x = 0