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cscott
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Homework Statement
Need to minimize [tex]\int_{(x_1,y_1)}^{(x_2,y_2)} n(x,y)~ds[/tex] where [tex]n(x,y)=e^y[/tex] and [tex](x_1,y_1)=(-1,1)[/tex], [tex](x_2,y_2)=(1,1)[/tex].
Homework Equations
Euler-Lagrange equation
The Attempt at a Solution
[tex]\frac{d}{dx}\frac{dF}{dy'} - \frac{dF}{dy}=0[/tex]
[tex]0 - e^y y' = 0[/tex]
y' = 0 so y = constant or y = 1 considering the initial conditions?
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