Math Chapter Wise question with answer

Q01 For Jn(x) being Bessel's function of first kind n d x J (x) dx is equal to: English · OPSC PGT 2017 Q02 What is the Laplace transform of the function sinx x? English · UPPSC GDC 2021 Q03 The condition that ∂ ∂ d f f – = 0 dx y' y for the functional [ ] () ∫ 2 1 x I y(x) = f x,y,y' dx to have a station... English · UPPSC Polytechnic Lecturer 2021 (I) Q04 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) Q05 The Euler equation for the functional () () z ∫∫ 2 2 D x y I z x,y = + z dxdy satisfy- English · UPPSC Polytechnic Lecturer 2021 (I) Q06 Laplace transform of Bessel function J1(x) is - English · UP Higher Asst. Prof. 2021