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Q38.png


Prove that if a and b are both positive

then all solutions have limit 0 as x tends to infinity

Q38.png

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20200211-165716_p0.jpg

Let y= e' be the general solution for
y " + ay + by = 0
then
we get 2 7 + a 2 + 6 = 0
A = - a + Vaz46
N
- Vaz 46
2
2
Say u = Va 2 46
then the general solution is
4 ( x ) = e
ax
if a - 4670
ax...

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