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Mathematics 108 Online
OpenStudy (anonymous):

Can someone help. This question is from my Classical Mechanics class. The topic is from Calculus of Variations and this problem involves the Euler Lagrange Equation.

OpenStudy (anonymous):

Oka

OpenStudy (anonymous):

Find the equation of the path joining the origin O to the point P(1,1) in the xy plane that makes the integral stationary. \[\int\limits_{O}^{P} (y \prime ^2 +yy \prime +y^2) dx\]

OpenStudy (anonymous):

I got this far. I need to find the function y(x) that will satisfy this condition. \[y \prime \prime -y = 0\]

OpenStudy (anonymous):

the solution of that differential equation is Asin(x)+Bcos(x).... now depending on the boundary conditions u can get A and B...

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