⑤ Consider the system x = xa with a ε (0,1) and with initial condition X(0) = o. Show that this system has an infinite set of solutions. a)Consider the system x=xa with a>! and x(0) = x0>0 Show that x(t) becomes infinite at finite time. What happens when a=1. 6) Show that the solution of x=x+b with a> and bro and x(0) = xo>o also becomes infinite at finite time.
⑤ Consider the system x = xa with a ε (0,1) and with initial condition X(0) = o. Show that this system has an infinite set of solutions. a)Consider the system x=xa with a>! and x(0) = x0>0 Show that x(t) becomes infinite at finite time. What happens when a=1. 6) Show that the solution of x=x+b with a> and bro and x(0) = xo>o also becomes infinite at finite time.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:⑤ Consider the system x = xa with a ε (0,1) and
with initial condition X(0) =
o. Show that
this system has an infinite set of solutions.
a)Consider the system x=xa with a>! and x(0) = x0>0
Show that x(t) becomes infinite at finite time.
What happens when a=1.
6) Show that the solution of x=x+b with
a> and bro and x(0) = xo>o also becomes
infinite at finite time.
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