|Aug4-11, 03:54 AM||#1|
Help with initial value problem(IVP)
As we know that there are 3 different general solutions of an ordinary differential equation depends on that what type of roots we've gotten in the solution, listed below.
Now 1st solution is used when discriminant i.e. D>0, 2nd is used when D=0 and 3rd is used when D<0
But here is a question,
By solving we get roots,
m1=-3 and m2=-3
While discriminant is -30
& book has used 2nd solution to solve it, if D<0 it must use 3rd solution.
How do we choose correct solution? Does solution is according to nature of roots(discriminant) or m1 & m2?
Thanks for your contribution.
|Aug4-11, 05:22 AM||#2|
Discriminant is not -30, it is 6^2-4.1.9=0
|Aug4-11, 06:14 AM||#3|
Thanks to light me the right way.
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