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VARIATIONAL PROBLEMS WITH FIXED BOUNDARIES

VARIATIONAL PROBLEMS WITH FIXED BOUNDARIES. TOPIC. TEST. Attempt any three: Q1.Find the necessary condition for I[y(x)]= f( x,y (x),y’(x)) dx to be an extremum .

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VARIATIONAL PROBLEMS WITH FIXED BOUNDARIES

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  1. VARIATIONAL PROBLEMS WITH FIXED BOUNDARIES TOPIC

  2. TEST Attempt any three: Q1.Find the necessary condition for I[y(x)]=f(x,y(x),y’(x))dx to be an extremum. Q2. Find the curve passing through the points (x1,y1) and (x2,y2) which when rotated about the x axis gives the minimum surface area. b a

  3. Q3. Show that geodesics on a sphere of radius a are its great circles. Q4. Define an isoperimetric problem.Find a curve having a given length,which encloses maximum area.

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