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Beliebt Rechnen >

y^{'''}-2y^{''}+26y^'=174e^{3x}

Lösung

y^{^{'''}} - 2 y^{^{''}} + 26 y^{^{'}} = 174 e^{3 x}

Lösung

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

Schritte zur Lösung

y^{'''} (x) - 2 y^{''} (x) + 26 y^{'} (x) = 174 e^{3 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y^'-y=t^3,y(0)=1,y^'(0)=0

y^{^{''}} + y^{^{'}} - y = t^{3}, y (0) = 1, y^{^{'}} (0) = 0

-y^{''}+2y^'+3y=1,y(0)=0,y(1)=(0)

- y^{^{''}} + 2 y^{^{'}} + 3 y = 1, y (0) = 0, y (1) = (0)

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

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

y^{''}+(9-2)y^'-2(9)y=8e^{2x}

y^{^{''}} + (9 - 2) y^{^{'}} - 2 (9) y = 8 e^{2 x}

y^{''}+y-pi/2 =0

y^{^{''}} + y - \frac{π}{2} = 0