Difference between revisions of "2006 SMT/Calculus Problems/Problem 2"
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+ | ==Problem 2== | ||
+ | Given the equation <math> 4y''+3y'-y=0 </math> and its solution <math> y=e^{\lambda t} </math>, what are the values of <math> \lambda </math>? | ||
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==Solution== | ==Solution== | ||
Revision as of 17:31, 14 January 2020
Problem 2
Given the equation and its solution , what are the values of ?
Solution
Substituting into the differential equation, we can solve for the values of :
Dividing through by :
Therefore, the possible values of are