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Beliebt Rechnen >

y^{''}+y^'+4.25y=0,y(0)=5

Lösung

y^{^{''}} + y^{^{'}} + 4.25 y = 0, y (0) = 5

Lösung

y = e^{- \frac{t}{2}} (5 cos (2 t) + c_{2} sin (2 t))

Schritte zur Lösung

y^{''} (t) + y^{'} (t) + 4.25 y = 0

Solve linear ODE:

y = e^{- \frac{t}{2}} (5 cos (2 t) + c_{2} sin (2 t))

y = e^{- \frac{t}{2}} (5 cos (2 t) + c_{2} sin (2 t))

Graph

Beliebte Beispiele

y^{''}+0y^'+36y=0,y(0)=3,y^'(0)=0

y^{^{''}} + 0 y^{^{'}} + 36 y = 0, y (0) = 3, y^{^{'}} (0) = 0

y^{''}-12y^'+40y=0,y(0)=6,y^'(0)=-2

y^{^{''}} - 12 y^{^{'}} + 40 y = 0, y (0) = 6, y^{^{'}} (0) = - 2

y^{''''}+12y^{'''}+36y^{''}=0

y^{^{''''}} + 12 y^{^{'''}} + 36 y^{^{''}} = 0

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

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

y^{''}+200y^'+1000y=0

y^{^{''}} + 200 y^{^{'}} + 1000 y = 0