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I ran into this problem and i went in circles trying to figure it out. Anyone have any suggestions?

Here is what i have:

Find the solution to the following lhcc recurrence:

http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/3c/1e4624e0fc726276872050e3ffe28d1.png [Broken]

with initial conditions http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/77/41b1266f6e87bb1b57dd6883644c521.png [Broken]

The solution is of the form: http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/b5/d7df51334509f4e8eb7c12482421651.png [Broken]

or suitable constants http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/ba/23a25f303b1dfba5efa3cc7dbfba401.png [Broken] with http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/8d/8623a3204922fa8125ce9b843a6b9b1.png [Broken]

Find these constants.

[tex]r_1 = r_2 = \alpha_1 = \alpha_2 =[/tex]

Okay so I plugged the 2 inital conditions in for the solution form and got:

1 = [tex]\alpha_1[/tex] + [tex]\alpha_2[/tex]

4 = [tex]\alpha_1[/tex]*r1 + [tex]\alpha_2[/tex]*r2

I can't solve t hat, too many unkowns and not enough equations. I also tried to find a2,a3,a4, then putting it all in terms of a0 and a1, then i was like urnt, what now? THanks!

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# Homework Help: Find the solution to the following lhcc recurrence, confused!

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