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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - x^{2} - 4

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - x^{2} - 4

y = c_{1} e^{x} + c_{2} e^{- x} - x^{2} - 4

Graph

Beliebte Beispiele

y^{''}+by^'+cy=e^xsin(x)

y^{^{''}} + b y^{^{'}} + cy = e^{x} sin (x)

10y^{''}+50y^'+57.6y=cos(x)

10 y^{^{''}} + 50 y^{^{'}} + 57.6 y = cos (x)

y^{''}+y=5sin(4x)

y^{^{''}} + y = 5 sin (4 x)

y^{''}-3y^'-2y=9e^{-x}

y^{^{''}} - 3 y^{^{'}} - 2 y = 9 e^{- x}

(D^3+D^2+5D+5)y=5cos(2x)

(D^{3} + D^{2} + 5 D + 5) y = 5 cos (2 x)