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Beliebt Rechnen >

y^{'''}-y^{''}+y^'-y=e^{-x}sin(x)

Lösung

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = e^{- x} sin (x)

Lösung

y = c_{1} e^{x} + c_{2} cos (x) + c_{3} sin (x) - \frac{1}{5} e^{- x} cos (x)

Schritte zur Lösung

y^{'''} (x) - y^{''} (x) + y^{'} (x) - y = e^{- x} sin (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} cos (x) + c_{3} sin (x) - \frac{1}{5} e^{- x} cos (x)

y = c_{1} e^{x} + c_{2} cos (x) + c_{3} sin (x) - \frac{1}{5} e^{- x} cos (x)

Graph

Beliebte Beispiele

y^{''}+4y=e^{3x}

y^{^{''}} + 4 y = e^{3 x}

y^{''}+4y^'+4y=2x+5

y^{^{''}} + 4 y^{^{'}} + 4 y = 2 x + 5

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

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

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

y^{'''}+225y^'=tan(15x)

y^{^{'''}} + 225 y^{^{'}} = tan (15 x)