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MAT244--Lectures & Home Assignments / The restriction of the variable $t$?
« on: September 13, 2018, 02:50:10 PM »
Hello,
I have a question for the Example 4 on 10th edition textbook in page 37.
To satisfy the initial condition, $c$ should be $1$, thus the answer for the question is: $y=t^2+\frac{1}{t^2}$, $t>0$. The textbook explains that the restriction of variable $t$ to the interval $0<t<\infty$ results from infinite discontinuity in the coefficient $p(t)$ at the origin, but how can we figure it out? How to determine the restriction of $t$?
Thanks in advance!
I have a question for the Example 4 on 10th edition textbook in page 37.
To satisfy the initial condition, $c$ should be $1$, thus the answer for the question is: $y=t^2+\frac{1}{t^2}$, $t>0$. The textbook explains that the restriction of variable $t$ to the interval $0<t<\infty$ results from infinite discontinuity in the coefficient $p(t)$ at the origin, but how can we figure it out? How to determine the restriction of $t$?
Thanks in advance!