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Beliebt Rechnen >

4(y^{''})+4(y^')+y=0

Lösung

4 (y^{^{''}}) + 4 (y^{^{'}}) + y = 0

Lösung

y = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{t}{2}} t

Schritte zur Lösung

4 (y^{''} (t)) + 4 (y^{'} (t)) + y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{t}{2}} t

y = c_{1} e^{- \frac{t}{2}} + c_{2} e^{- \frac{t}{2}} t

Graph

Beliebte Beispiele

y^{''''}-7y^{'''}+17y^{''}-17y^'+6y=0

y^{^{''''}} - 7 y^{^{'''}} + 17 y^{^{''}} - 17 y^{^{'}} + 6 y = 0

4y^{''}+20y^'+29y=0,y(0)=8

4 y^{^{''}} + 20 y^{^{'}} + 29 y = 0, y (0) = 8

9y^{''}+24y^'-33y=0

9 y^{^{''}} + 24 y^{^{'}} - 33 y = 0

y^{''}+6y^'+13y=0,y(0)=3,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = 3, y^{^{'}} (0) = 1

y^{'''}+3y^{''}+4y^'+12y=0

y^{^{'''}} + 3 y^{^{''}} + 4 y^{^{'}} + 12 y = 0