Math Chapter Wise question with answer

Q01 The solution of the Fredholm integral equation φ(x) = 1 + φ ∫ 1 0 λ xt (t) dt is - English · UPPSC Polytechnic Lecturer 2021(II) Q02 Two linearly independent solutions of the differential equation y" – 2y' + y = 0 are y1 = ex and y2 = xex then a pa... English · DSSSB PGT 2021 Q03 Let y = x, y = e–x be two linearly independent solution of the corresponding homogeneous equation of () 2 d y dy 1+... English · DSSSB PGT 2021 Q04 The three linearly independent solutions of 3 d y dy x 6x +12y = 0. dx dx − − of the form y = xr is – English · DSSSB PGT 2021 Q05 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 Q06 The solution of linear integral equation φ(x) = x + φ ∫ 1/2 0 (t) dt is – English · UPPSC Polytechnic Lecturer 2021(II)