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Beliebt Rechnen >

x^{''}-x=e^{-t}sin(e^{-t})+cos(e^{-t})

Lösung

x^{^{''}} - x = e^{- t} sin (e^{- t}) + cos (e^{- t})

Lösung

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

Schritte zur Lösung

x^{''} (t) - x = e^{- t} sin (e^{- t}) + cos (e^{- t})

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=2ex-10

y^{^{''}} - 2 y^{^{'}} - 3 y = 2 e x - 10

y^{'''}+3y^{''}+y^'-5y=-5x

y^{^{'''}} + 3 y^{^{''}} + y^{^{'}} - 5 y = - 5 x

y^{''}+4y=2cos(x)

y^{^{''}} + 4 y = 2 cos (x)

y^{'''}+y^'=sec^2(x)

y^{^{'''}} + y^{^{'}} = sec^{2} (x)

y^{'''}-5y^{''}+6y^'=9+2sin(x)

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 9 + 2 sin (x)