Consider the recurrence relation ak = −8ak−1 − 15ak−2 with initial conditions a0 = 0 and a1 = 2. Which of the following is an explicit solution to this recurrence relation?         a) ak = (−3)k − (−5)k     b) ak = k(−3)k − k(−5)k         c) ak = k(−3)k − (−5)k     d) ak = k(−5)k − k(−3)k

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Consider the recurrence relation ak = −8ak−1 − 15ak−2 with initial conditions a0 = 0 and a1 = 2. Which of the following is an explicit solution to this recurrence relation?

 

 
   

a) ak = (−3)k − (−5)k

   

b) ak = k(−3)k − k(−5)k

 

 

   

c) ak = k(−3)k − (−5)k

   

d) ak = k(−5)k − k(−3)k

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