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Beliebt Rechnen >

y^{''}+3y=-48x^2e^3x

Lösung

y^{^{''}} + 3 y = - 48 x^{2} e^{3} x

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 16 e^{3} x^{3} + 32 e^{3} x

Schritte zur Lösung

y^{''} (x) + 3 y = - 48 x^{2} e^{3} x

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 16 e^{3} x^{3} + 32 e^{3} x

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 16 e^{3} x^{3} + 32 e^{3} x

Graph

Beliebte Beispiele

y^{'''}-y^{''}-25y^'+25y=2-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 2 - e^{x} + e^{5 x}

y^{''}-4y^'=2cos^2(4x)

y^{^{''}} - 4 y^{^{'}} = 2 cos^{2} (4 x)

y^{''}+2y^'-3y=16e^{-3t}

y^{^{''}} + 2 y^{^{'}} - 3 y = 16 e^{- 3 t}

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

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

(D^2-3D+2)y=2x^3-9x^2+6x

(D^{2} - 3 D + 2) y = 2 x^{3} - 9 x^{2} + 6 x