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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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)

y^{''}-y=e^xsin(x)

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

4y^{''}-4y^'+y=16e^{(x/2)}

4 y^{^{''}} - 4 y^{^{'}} + y = 16 e^{(\frac{x}{2})}