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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

2y^{'''}-5y^{''}+3y=3x^2e^{2x}

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

(D^2+100)(D^2-100)(D+10)^4x=100

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