- #1
physicsfan24
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Homework Statement
This is the original question:
[tex]\frac{d^{2}y}{dx^{2}}-\frac{6x}{3x^{2}+1}\frac{dy}{dx}+\lambda(3x^{2}+1)^{2}y=0[/tex]
(Hint: Let t=[tex]x^{3}+x[/tex])
y(0)=0
y([tex]\pi[/tex])=02. The attempt at a solution
This might be all wrong, but this is all I can think of
[tex]\frac{dt}{dx}=3x^{2}+1[/tex]
so [tex]\frac{d^{2}y}{dx^{2}}-\frac{6x}{\frac{dt}{dx}}\frac{dy}{dx}+\lambda(\frac{dt}{dx})^{2}y=0[/tex]After this, I do not know how to proceed to eliminate [tex]d^{2}y/dx^{2}[/tex], much less what else to do. Help!
Thank you very much for your time,
-PhysicsFan24
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