Recent content by nafizamin

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    Graduate Finding the function from ds=[2/(1-r^2)]√ (dr^2+(rd∅)^2)

    yes found it on rolphy. thank you everyone.
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    Graduate Finding the function from ds=[2/(1-r^2)]√ (dr^2+(rd∅)^2)

    i didn't understand. could you elaborate, please ?
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    Graduate Finding the function from ds=[2/(1-r^2)]√ (dr^2+(rd∅)^2)

    in relativity theory, in a certain "rapid space" the distance between two neighboring points is given by- ds=[2/(1-r^2)]√ (dr^2+(rd∅)^2) (considering a 2D space ) use the euler lagrange equation to show that the shortest distance from origin to any point is straight line. attempt- i...
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    How to find the function for which ∫ √x*√(1+y'^2) dx is stationary?

    well, squaring gives me- x*y'^2=C(1+y'^2). i could separate to get x=C(1+y'^2)/y'^2 how do i integrate the terms involving y'^2 ?
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    How to find the function for which ∫ √x*√(1+y'^2) dx is stationary?

    this is an euler lagrange equation problem from the book- "classical mechanics-John R. Taylor", problem-6.11 find the path function for which ∫ √x*√(1+y'^2) dx is stationary. the answer is- x= C+(y-D)^2/4C, the equation of a parabola. here the euler lagrange equation will work on...