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Beliebt Rechnen >

3y^{''}-9y^'+6y=0

Lösung

3 y^{^{''}} - 9 y^{^{'}} + 6 y = 0

Lösung

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

Schritte zur Lösung

3 y^{''} (t) - 9 y^{'} (t) + 6 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+10((dy)/(dx))+25y=0

\frac{d ^{2} y}{d x ^{2}} + 10 (\frac{d y}{d x}) + 25 y = 0

x^{''}+8x^'+80x=0

x^{^{''}} + 8 x^{^{'}} + 80 x = 0

y^{''}+4y^'+4y=0,y(-1)=5,y^'(-1)=4

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (- 1) = 5, y^{^{'}} (- 1) = 4

r^{''}-4r^'-53r=0

r^{^{''}} - 4 r^{^{'}} - 53 r = 0

(D^3+2D^2+D+2)y=0

(D^{3} + 2 D^{2} + D + 2) y = 0