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Beliebt Rechnen >

1/4 y^{''}+y^'+4y=0

Lösung

\frac{1}{4} y^{^{''}} + y^{^{'}} + 4 y = 0

Lösung

y = e^{- 2 t} (c_{1} cos (23 t) + c_{2} sin (23 t))

Schritte zur Lösung

\frac{1}{4} y^{''} (t) + y^{'} (t) + 4 y = 0

Solve linear ODE:

y = e^{- 2 t} (c_{1} cos (23 t) + c_{2} sin (23 t))

y = e^{- 2 t} (c_{1} cos (23 t) + c_{2} sin (23 t))

Graph

Beliebte Beispiele

y^{'''}+5y^{''}+3y^'-9y=0

y^{^{'''}} + 5 y^{^{''}} + 3 y^{^{'}} - 9 y = 0

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

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

15y^{''''}+128y^{''}+25y=0

15 y^{^{''''}} + 128 y^{^{''}} + 25 y = 0

y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=5

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y^{^{'}} (1) = 5

x^{'''}-12x^{''}+48x^'-64x=0

x^{^{'''}} - 12 x^{^{''}} + 48 x^{^{'}} - 64 x = 0