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Beliebt Rechnen >

y^{''}-y=4x^2-1

Lösung

y^{^{''}} - y = 4 x^{2} - 1

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} - 4 x^{2} - 7

Schritte zur Lösung

y^{''} (x) - y = 4 x^{2} - 1

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - 4 x^{2} - 7

y = c_{1} e^{x} + c_{2} e^{- x} - 4 x^{2} - 7

Graph

Beliebte Beispiele

2y^{''}+8y^'+8y=e^{-2x}+x

2 y^{^{''}} + 8 y^{^{'}} + 8 y = e^{- 2 x} + x

y^{''}-4y^'+4y=3e^{2x}+xsin(x)

y^{^{''}} - 4 y^{^{'}} + 4 y = 3 e^{2 x} + x sin (x)

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

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

y^{''}+4y^'+3y=e^{-x}+3e^x

y^{^{''}} + 4 y^{^{'}} + 3 y = e^{- x} + 3 e^{x}

(d^2-3d)y=x^2+2x-6

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