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Beliebt Rechnen >

y^{''}+4y^'+5y=5

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = 5

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) + 5 y = 5

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}+4y^'+y=(5e^{-t/2})/(t^2+1)

4 y^{^{''}} + 4 y^{^{'}} + y = \frac{5 e ^{- \frac{t}{2}}}{t ^{2} + 1}

y^{''}-5y^'+6y=-3sin(2x)

y^{^{''}} - 5 y^{^{'}} + 6 y = - 3 sin (2 x)

y^{''}+4y^'+3y=18

y^{^{''}} + 4 y^{^{'}} + 3 y = 18

y^{''}-7y^'+12y=2e^{4t},y(0)=1,y^'(0)=0

y^{^{''}} - 7 y^{^{'}} + 12 y = 2 e^{4 t}, y (0) = 1, y^{^{'}} (0) = 0

y^{''}-5y^'+6y=sin(4x)

y^{^{''}} - 5 y^{^{'}} + 6 y = sin (4 x)