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Beliebt Rechnen >

y^{''}+6y^'+10y=0,y(0)=4

Lösung

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (0) = 4

Lösung

y = e^{- 3 t} (4 cos (t) + c_{2} sin (t))

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{- 3 t} (4 cos (t) + c_{2} sin (t))

y = e^{- 3 t} (4 cos (t) + c_{2} sin (t))

Graph

Beliebte Beispiele

6y^{''}+5y^'-6y=0

6 y^{^{''}} + 5 y^{^{'}} - 6 y = 0

y^{''}+4/3 y^'+αy=0,y(0)=1,y^'(0)=-16/3

y^{^{''}} + \frac{4}{3} y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - \frac{16}{3}

linear y^{''}+9y=0

l in e a r y^{^{''}} + 9 y = 0

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

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

9y^{''}-12y+4y=0

9 y^{^{''}} - 12 y + 4 y = 0