Toronto Math Forum

APM346-2018S => APM346--Lectures => Topic started by: Adam Gao on February 07, 2018, 04:33:58 PM

Title: Section 2.6 Example 2 correction
Post by: Adam Gao on February 07, 2018, 04:33:58 PM
In Section 2.6, Example 2, equation (14) it is written:

$$\begin{multline}
\psi(x)=-c\int_0^{-x/c}q(t')\,dt'+\phi(x)=\\
-c\int_0^{-x/c}q(t')\,dt'+\frac{1}{2}g(-x) +
\frac{1}{2c}\int_0^{-x}
h(x')\,dx'.
\qquad \label{eq-2.6.14}
\end{multline}$$

But I believe the expression should contain $$\phi(-x)$$ not $$\phi(x)$$ as follows from $$\phi(-x)-\psi(x)=c\int_0^{-x/c}q(t')\,dt'$$
Title: Re: Section 2.6 Example 2 correction
Post by: Ioana Nedelcu on February 07, 2018, 05:03:26 PM
Yeah it should be $ \phi(-x)$ but in the next line they correctly included -x in the g(x) and h(x) functions so I don't think it should change any following equations
Title: Re: Section 2.6 Example 2 correction
Post by: Victor Ivrii on February 10, 2018, 03:43:49 PM
Thanks. Corrected