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Beliebt Rechnen >

y^{'''}+3y^'=sin(x)+1

Lösung

y^{^{'''}} + 3 y^{^{'}} = sin (x) + 1

Lösung

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

Schritte zur Lösung

y^{'''} (x) + 3 y^{'} (x) = sin (x) + 1

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-4y=12t^2cos^2(t)

y^{^{''}} - 4 y = 12 t^{2} cos^{2} (t)

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

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

2x^{''}+4x^'+128x=cos(3t)

2 x^{^{''}} + 4 x^{^{'}} + 128 x = cos (3 t)

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

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

3x^{''}+48x=180e^{-4t}cos(4t)

3 x^{^{''}} + 48 x = 180 e^{- 4 t} cos (4 t)