Can Any Polynomial of Degree Two Solve This Differential Equation?

wormhole · 2005-12-21T18:17:52+00:00

how can i solve this differential equation? {(\frac{d^2y}{dx^2})}^2+ay(x)+b=0

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wormhole

how can i solve this differential equation?

[tex] {(\frac{d^2y}{dx^2})}^2+ay(x)+b=0[/tex]

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HINT: Define a new variable [itex]z(x) = y(x) + b/a[/itex]

wormhole

ok i figured it out
any polinom of degree two will do it
thanks