Q. Consider the second order Cauchy- Euler DE x*y"+ Bxy' + y = 0,x > 0, where Bis a constant a) Find lim y(x) where y(x) is a general solution using the given restriction on . b) Determine if the solution is bounded as x > oin each case: i. B = 1; ii. B> 1; iii. B<1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the second order Cauchy- Euler DE
x'y" + Bxy' + y=0,x>0, where B is a constant
a) Find lim y(x) where y(x) is a general solution using the given restriction on .
b) Determine if the solution is bounded as x>coin each case:
i.
B= 1;
i.
B> 1;
iii.
B<1.
Transcribed Image Text:Q. Consider the second order Cauchy- Euler DE x'y" + Bxy' + y=0,x>0, where B is a constant a) Find lim y(x) where y(x) is a general solution using the given restriction on . b) Determine if the solution is bounded as x>coin each case: i. B= 1; i. B> 1; iii. B<1.
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