- E5
[1S1]Note:From the text [ 22 ] , pg 84..Consider the curves
\[ y=f(x,a)=a x+\frac{a^ 2} 2 \]Find a differential equation solved by all curves. (Sugg. Eliminate \(a\) from the system \(y=f, y'=\frac{\partial ~ }{\partial {x}} f\). The result can be left in non-normal form.)
Calculate the envelope; check that it satisfies the differential equation obtained above.
See also the figure 15.
Solution 1
Figure 11 Solution of [1S1]: envelope.
EDB — 1S1
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Authors:
"Mennucci , Andrea C. G."
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