Differention equation problem, help please

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Please help me with this problem :

Show that for any constant A and B the function y= Axr1+Bxr2 is a solution of the differentiol equation ax2y"+bxy'+cy=0 , given that r1 and r2 are both roots of the quadratic equation ar(r-1)+br+c.
 
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Welcome to PF!

Hi stelastela! Welcome to PF! :smile:

Hint: xr1 = er1lnx :wink:
 

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