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 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 Q03 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 Q04 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 Q05 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 Q06 Solution of the integral equation () () () ∫ x 0 y x = x + sin x – t y t dt is English · UPPSC GDC 2021