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Beliebt Rechnen >

y^{''}+y=4xcos(x)

Lösung

y^{^{''}} + y = 4 x cos (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) + y = 4 x cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'+3y=6x^2+x+9

y^{^{''}} + 4 y^{^{'}} + 3 y = 6 x^{2} + x + 9

y^{''}-3y^'+2y=e^{-4t},y(0)=1,y^'(0)=5

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{- 4 t}, y (0) = 1, y^{^{'}} (0) = 5

y^{^{''}} + 8 y^{^{'}} = 8 x

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

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

y^{''}+4y=2sec^3(2t)

y^{^{''}} + 4 y = 2 sec^{3} (2 t)