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Beliebt Rechnen >

2y^{''}-0y^'+18y=0

Lösung

2 y^{^{''}} - 0 y^{^{'}} + 18 y = 0

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t)

Schritte zur Lösung

2 y^{''} (t) - 0 y^{'} (t) + 18 y = 0

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t)

Graph

Beliebte Beispiele

24y^{''}+14y^'-3y=0

24 y^{^{''}} + 14 y^{^{'}} - 3 y = 0

y^{''}+5*y^'+a*y=0,y(0)=1,y^'(0)=7

y^{^{''}} + 5 \cdot y^{^{'}} + a \cdot y = 0, y (0) = 1, y^{^{'}} (0) = 7

5y^{''}+cy^'+45y=0,y(0)=-8,y^'(0)=0

5 y^{^{''}} + c y^{^{'}} + 45 y = 0, y (0) = - 8, y^{^{'}} (0) = 0

(d^{5} - d^{3}) \cdot y = 0

y^{^{''}} = k y (x)