Math Chapter Wise question with answer

Q01 If F(x,y,y') is independent of x, then Euler's equation for the functional () ∫ 2 1 x F x,y,y' dx reduces to- English · UPPSC GDC 2021 UPPSC Polytechnic Lecturer 2021 (I) Q02 Which is not the Euler-Lagrange equation for variation problems English · UP Higher Asst. Prof. 2021 Q03 The solution of Euler's equation for the functional 1 0 x (y')y'd + ∫ x x is: English · UKPSC Lecturer (Mains) 2020 Q04 Which of the following is a Cauchy-Euler equation? English · JSSC PGT 2018 Q05 The equation (αxy3 + y cos x)dx + (x2 y2 + βsinx) dy = 0 is exact for English · Bihar (TRE 1.0) -2023 Q06 The differential equation for y=a cos (αx)+b sin (αy), where a and b are arbitrary constants is: English · KVS PGT 2022