Math Chapter Wise question with answer

Q01 The solution of the Fredholm linear integral equation () () () 1 xt x 0 u x x e 1 u t dt e x + − = − ∫ is English · UP Higher Asst. Prof. 2021 Q02 If x and e–x are two linearly independent solutions of the equation () 2 2 2 d y dy 1+ x + x – y dx dx () 2 = 1+ x,... English · JSSC PGT 2018 Q03 Solution of the integral equation () () () ∫ x 0 y x = x + sin x – t y t dt is English · UPPSC GDC 2021 Q04 The solution of linear integral equation φ(x) = x + φ ∫ 1/2 0 (t) dt is – English · UPPSC Polytechnic Lecturer 2021(II) Q05 The solution of the integral equation sinx = φ ∫ x 0 J (x – t) (t)dt is – English · UPPSC Polytechnic Lecturer 2021(II) Q06 The solution of the integral equation φ(x) = 1 + φ ∫ x 0 (t) dt is – English · UPPSC Polytechnic Lecturer 2021(II)