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Beliebt Rechnen >

y^{''}+y=4x+10sin(x)

Lösung

y^{^{''}} + y = 4 x + 10 sin (x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 4 x - 5 x cos (x)

Schritte zur Lösung

y^{''} (x) + y = 4 x + 10 sin (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 4 x - 5 x cos (x)

y = c_{1} cos (x) + c_{2} sin (x) + 4 x - 5 x cos (x)

Graph

Beliebte Beispiele

y^{''}-5y^'+6y=te^t

y^{^{''}} - 5 y^{^{'}} + 6 y = t e^{t}

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

2 y^{^{''}} + 2 y^{^{'}} + y = 4 x

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

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

y^{''}+2y^'+5y=4e^{-x}cos(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 4 e^{- x} cos (2 x)

y^{''}+5y^'-6y=xe^{-5x}

y^{^{''}} + 5 y^{^{'}} - 6 y = x e^{- 5 x}