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Beliebt Rechnen >

y^{'''}-y^{''}+y^'-y=9e^{-x}

Lösung

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = 9 e^{- x}

Lösung

y = c_{1} e^{x} + c_{2} cos (x) + c_{3} sin (x) - \frac{9}{4} e^{- x}

Schritte zur Lösung

y^{'''} (x) - y^{''} (x) + y^{'} (x) - y = 9 e^{- x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} cos (x) + c_{3} sin (x) - \frac{9}{4} e^{- x}

y = c_{1} e^{x} + c_{2} cos (x) + c_{3} sin (x) - \frac{9}{4} e^{- x}

Graph

Beliebte Beispiele

y^{''}+4y=-20sin(2t)

y^{^{''}} + 4 y = - 20 sin (2 t)

y^{''}-6y^'+9y=2e^x

y^{^{''}} - 6 y^{^{'}} + 9 y = 2 e^{x}

x^{''}+2x^'+5x=1,x^'(0)=0,x(0)=0

x^{^{''}} + 2 x^{^{'}} + 5 x = 1, x^{^{'}} (0) = 0, x (0) = 0

y^{''}-5y^'=3cos(x)

y^{^{''}} - 5 y^{^{'}} = 3 cos (x)

y^{''}-2y^'+2y=e^2x(cos(x)-8sin(x))

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{2} x (cos (x) - 8 sin (x))