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Beliebt Rechnen >

4y^{''}-16y=4x

Lösung

4 y^{^{''}} - 16 y = 4 x

Lösung

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

Schritte zur Lösung

4 y^{''} (x) - 16 y = 4 x

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+2x=2t+26

x^{^{''}} + 2 x = 2 t + 26

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

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

y^{''}-14y^'+49y=e^{7t}ln(t)

y^{^{''}} - 14 y^{^{'}} + 49 y = e^{7 t} ln (t)

y^{''}+2y= 1/(cos(sqrt(2x)))

y^{^{''}} + 2 y = \frac{1}{cos ( 2 x )}

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

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