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Beliebt Rechnen >

y^{'''}+3y^{''}+9y^'+27y=e^x+3

Lösung

y^{^{'''}} + 3 y^{^{''}} + 9 y^{^{'}} + 27 y = e^{x} + 3

Lösung

y = c_{1} e^{- 3 x} + c_{2} cos (3 x) + c_{3} sin (3 x) + \frac{1}{40} e^{x} + \frac{1}{9}

Schritte zur Lösung

y^{'''} (x) + 3 y^{''} (x) + 9 y^{'} (x) + 27 y = e^{x} + 3

Solve linear ODE:

y = c_{1} e^{- 3 x} + c_{2} cos (3 x) + c_{3} sin (3 x) + \frac{1}{40} e^{x} + \frac{1}{9}

y = c_{1} e^{- 3 x} + c_{2} cos (3 x) + c_{3} sin (3 x) + \frac{1}{40} e^{x} + \frac{1}{9}

Graph

Beliebte Beispiele

y^{''}-2y^'+10y=15x^2-x+1

y^{^{''}} - 2 y^{^{'}} + 10 y = 15 x^{2} - x + 1

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

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

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

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

y^{''}-17y^'+72y=55+72x

y^{^{''}} - 17 y^{^{'}} + 72 y = 55 + 72 x

y^{''}-y^'-6y=5e^{2x}

y^{^{''}} - y^{^{'}} - 6 y = 5 e^{2 x}