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Beliebt Rechnen >

y^{''}+3y^'+2y=3sin(x)+4x

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = 3 sin (x) + 4 x

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{3}{10} sin (x) - \frac{9}{10} cos (x) + 2 x - 3

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 2 y = 3 sin (x) + 4 x

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{3}{10} sin (x) - \frac{9}{10} cos (x) + 2 x - 3

y = c_{1} e^{- x} + c_{2} e^{- 2 x} + \frac{3}{10} sin (x) - \frac{9}{10} cos (x) + 2 x - 3

Graph

Beliebte Beispiele

y^{''}-6y^'+8y=2,y(0)=0,y^'(0)=0

y^{^{''}} - 6 y^{^{'}} + 8 y = 2, y (0) = 0, y^{^{'}} (0) = 0

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

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

y^{''}-5y^'+6y=12x-4

y^{^{''}} - 5 y^{^{'}} + 6 y = 12 x - 4

y^{''}-2y^'-3y=12e^{3x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 12 e^{3 x}

y^{''}+2y^'+2y=e^xcos(x)

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