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Beliebt Rechnen >

y^{''}+0/3 y^'+12/3 y=0

Lösung

y^{^{''}} + \frac{0}{3} y^{^{'}} + \frac{12}{3} y = 0

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t)

Schritte zur Lösung

y^{''} (t) + \frac{0}{3} y^{'} (t) + \frac{12}{3} y = 0

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t)

Graph

Beliebte Beispiele

3y^{'''}-2y^{''}-37y^'-12y=0

3 y^{^{'''}} - 2 y^{^{''}} - 37 y^{^{'}} - 12 y = 0

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

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

4y^{''}-12y^'+9y=0,y(0)=1

4 y^{^{''}} - 12 y^{^{'}} + 9 y = 0, y (0) = 1

(d^3+9d^2+27d+27)y=0

(d^{3} + 9 d^{2} + 27 d + 27) y = 0

(D^{2} - D - 2) y = 0