Math Chapter Wise question with answer

Q01 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 Q02 Solution of the integral equation () () () ∫ x 0 y x = x + sin x – t y t dt is English · UPPSC GDC 2021 Q03 The solution of linear integral equation φ(x) = x + φ ∫ 1/2 0 (t) dt is – English · UPPSC Polytechnic Lecturer 2021(II) Q04 The solution of the integral equation sinx = φ ∫ x 0 J (x – t) (t)dt is – English · UPPSC Polytechnic Lecturer 2021(II) Q05 The solution of the Fredholm integral equation φ(x) = 1 + φ ∫ 1 0 λ xt (t) dt is - English · UPPSC Polytechnic Lecturer 2021(II) Q06 The solution of the Volterra integral equation () () () ∫ x 0 y x = 1+ x - t y t dt, when y0(x) = 0, is English · UP Higher Asst. Prof. 2021