Math Chapter Wise question with answer

Q01 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 Q02 A particular solution of the differential equation: () 3 2 2 dy x + x + x +1 = 2x + x,y = 1 dx when x = 0 is: English · UKPSC Lecturer (Mains) 2020 Q03 2 x y = 8 is a particular solution of the differential equation: English · UP PCS (Pre) 2001 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 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 particular integral of the following differential equation will be: (()) 2 y cosx D 1 = + (()) 2 y cosx D 1 = + English · UK SSSC LT 2020