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Beliebt Rechnen >

linear y^{''}-7y+10y=0

Lösung

linear

y^{^{''}} - 7 y + 10 y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - 7 y + 10 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

3y^{''}+27y^'+24y=0

3 y^{^{''}} + 27 y^{^{'}} + 24 y = 0

y^{^{''}} - k y^{^{'}} = 0

y^{''}+13y^'+18y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 13 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

81y^{''}-54y^'=0,y(0)=1,y^'(0)=0

81 y^{^{''}} - 54 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 0

D^{2} (D^{2} + 1) y = 0