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Beliebt Rechnen >

y^{''}+5y^'=100sin(5t)+150cos(5t)

Lösung

y^{^{''}} + 5 y^{^{'}} = 100 sin (5 t) + 150 cos (5 t)

Lösung

y = c_{1} + c_{2} e^{- 5 t} + sin (5 t) - 5 cos (5 t)

Schritte zur Lösung

y^{''} (t) + 5 y^{'} (t) = 100 sin (5 t) + 150 cos (5 t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- 5 t} + sin (5 t) - 5 cos (5 t)

y = c_{1} + c_{2} e^{- 5 t} + sin (5 t) - 5 cos (5 t)

Graph

Beliebte Beispiele

y^{''}+49y=-5cos(7t+pi^3)

y^{^{''}} + 49 y = - 5 cos (7 t + π^{3})

y^{''}+b^2y=sin(bt),y(0)=0,y^'(0)=0

y^{^{''}} + b^{2} y = sin (b t), y (0) = 0, y^{^{'}} (0) = 0

y^{'''}-y^'=6sin(t)

y^{^{'''}} - y^{^{'}} = 6 sin (t)

y^{''}+4y^'+5y=(e^{-2x})sec(x)

y^{^{''}} + 4 y^{^{'}} + 5 y = (e^{- 2 x}) sec (x)

y^{''}-4y^'+4y=xe^{2x}+1

y^{^{''}} - 4 y^{^{'}} + 4 y = x e^{2 x} + 1