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Beliebt Rechnen >

y^{'''}+y^{''}+y^'+y=e^{-t}+2t

Lösung

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 2 t

Lösung

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

Schritte zur Lösung

y^{'''} (t) + y^{''} (t) + y^{'} (t) + y = e^{- t} + 2 t

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+36y=-12sin(6t)

y^{^{''}} + 36 y = - 12 sin (6 t)

y^{''}+3y=x^2sin(x)cos(x)

y^{^{''}} + 3 y = x^{2} sin (x) cos (x)

0.5y^{''}+6y^'+50y=24sin(10t)

0.5 y^{^{''}} + 6 y^{^{'}} + 50 y = 24 sin (10 t)

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

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

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

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