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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- x} - x^{2} + 2 x + \frac{3}{5} sin (2 x) + \frac{3}{10} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} - x^{2} + 2 x + \frac{3}{5} sin (2 x) + \frac{3}{10} cos (2 x)

y = c_{1} + c_{2} e^{- x} - x^{2} + 2 x + \frac{3}{5} sin (2 x) + \frac{3}{10} cos (2 x)

Graph

Beliebte Beispiele

y^{^{''}} + y = 4

y^{''}-2y^'-3y=e^{2t}

y^{^{''}} - 2 y^{^{'}} - 3 y = e^{2 t}

y^{''}+9y=52e^{2x}

y^{^{''}} + 9 y = 52 e^{2 x}

0.1y^{''}+50y^'+2000y=110cos(377x)

0.1 y^{^{''}} + 50 y^{^{'}} + 2000 y = 110 cos (377 x)

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

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