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Beliebt Rechnen >

2y^{''}+4y^'+8y=8

Lösung

2 y^{^{''}} + 4 y^{^{'}} + 8 y = 8

Lösung

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 1

Schritte zur Lösung

2 y^{''} (t) + 4 y^{'} (t) + 8 y = 8

Solve linear ODE:

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 1

y = e^{- t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 1

Graph

Beliebte Beispiele

y^{''}-10y^'+25y=30x^2+3

y^{^{''}} - 10 y^{^{'}} + 25 y = 30 x^{2} + 3

3y^{''}+12y=-4sin(2t)

3 y^{^{''}} + 12 y = - 4 sin (2 t)

y^{''}-y=x^2+1,y(0)=4,y(1)=0

y^{^{''}} - y = x^{2} + 1, y (0) = 4, y (1) = 0

y^{''}-8y^'+15y=225x

y^{^{''}} - 8 y^{^{'}} + 15 y = 225 x

y^{^{''}} - 3 y = e^{x}