... weightfunction, say v1for the first equation and v2for the second equation, and integrateov er the interval (0,L). In the second step, carry out the integration -by- parts oncein the firstequation,twiceinthefirst ... firstequation,twiceinthefirst term of the second equation, and once in the second part of the second equation. Then use the fact that v1(0) = v1(L)=0(becauseu is specified there), v2(0) = v2(L) ... Hint:Usetheproductofequationsofthelinesrepresenting the sides o f the triangle for the approximation function. Answer: c1= −12.Solution: For the coordinate system shown in the figure, the equations...