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--- book:chap4:4.3_separation_of_variables [2021/12/06 14:54] – created abril
+++ book:chap4:4.3_separation_of_variables [2024/01/31 23:30] (current) – fix link in footnote jv
@@ Line 1: / Line 1: @@
-===== 4.3  Separation of variables --- Settling with Stokes drag  =====
+===== 4.3  Separation of variables — Settling with Stokes drag  =====
 The settling of a ball in a viscous medium can be described by the equations of motion
@@ Line 125: / Line 125: @@
 The solution of the differential equation
 \begin{align*}
-    \frac{\mathrm{d} y(x)}{\mathrm{d} x} = \frac{ \mathrm{e}^{ y^2(x) } }{ 1-2 \, y^2(x) }
+    \frac{\mathrm{d} y(x)}{\mathrm{d} x} = \frac{ \mathrm{e}^{ -y^2(x) } }{ 1+2 \, y^2(x) }
     \qquad\text{with}\quad y(0) = 0
 \end{align*}
@@ Line 368: / Line 368: @@
 This is discussed now for two concrete cases:
-<WRAP box round>**Example 4.6** <wrap em>Stokes friction for a steel ball</wrap> \\
+<WRAP box round #StokesFall>**Example 4.6** <wrap em>Stokes friction for a steel ball</wrap> \\
 A steel ball with a diameter of 1 cm has a mass of about
@@ Line 413: / Line 413: @@
 and this time the bullet will have dropped by a distance
 $ g\,t_{\text{water}}^2/2 = 5 \times 10^{4}\, \, \text{m}$
-which is deeper than the deepest point in our Oceans.((In [[book:chap4:4.4_worked_example/free_flight|Section 4.4]] we will see what goes wrong here.))
+which is deeper than the deepest point in our Oceans.((In
+[[book:chap4:4.4_worked_example_free_flight|Section 4.4]] we will see what goes wrong here.))
 </WRAP>