- #1
chocok
- 21
- 0
Question:
I have to find the constant a such that [tex] y(x) = e^{ax}[/tex] is a solution for x" = x
My answer:
I tried 2 ways of reasoning and they both led to my answer that a can be any number (but zero).
Can anyone see if they are correct?? If not, pls give me some hint!
1. x= ln(y)/a but x" is a 2nd derivative with respect to x. so x" = 0 => x=0 =>[tex] a\in R [/tex] \0
2. x has to be a constant for the solution to work, and it has to be specifically 0, so a is any real number but 0.
I have to find the constant a such that [tex] y(x) = e^{ax}[/tex] is a solution for x" = x
My answer:
I tried 2 ways of reasoning and they both led to my answer that a can be any number (but zero).
Can anyone see if they are correct?? If not, pls give me some hint!
1. x= ln(y)/a but x" is a 2nd derivative with respect to x. so x" = 0 => x=0 =>[tex] a\in R [/tex] \0
2. x has to be a constant for the solution to work, and it has to be specifically 0, so a is any real number but 0.