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Beliebt Rechnen >

y^{''}-(2α-12)y^'+(α^2-12α+20)y=0

Lösung

y^{^{''}} - (2 α - 12) y^{^{'}} + (α^{2} - 12 α + 20) y = 0

Lösung

y = c_{1} e^{(α - 2) t} + c_{2} e^{(α - 10) t}

Schritte zur Lösung

y^{''} (t) - (2 α - 12) y^{'} (t) + (α^{2} - 12 α + 20) y = 0

Solve linear ODE:

y = c_{1} e^{(α - 2) t} + c_{2} e^{(α - 10) t}

y = c_{1} e^{(α - 2) t} + c_{2} e^{(α - 10) t}

Graph

Beliebte Beispiele

(d^2x)/(dt^2)-ax=0

\frac{d ^{2} x}{d t ^{2}} - a x = 0

y^{''}-3y^'-4y=0,y(0)=a,y^'(0)=-10

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = a, y^{^{'}} (0) = - 10

y^'-2y^{'''}+y^{''}=0

y^{^{'}} - 2 y^{^{'''}} + y^{^{''}} = 0

y^{''}-4y^'+3y=0,y(0)=-1

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = - 1

(d^2x)/(dt^2)+0.75(dx)/(dt)+0.3x=0

\frac{d ^{2} x}{d t ^{2}} + 0.75 \frac{d x}{d t} + 0.3 x = 0