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 Singular solutions of the differential equation xyp2 –(x2 +y2 –1)p+xy = 0 are: English · UP PCS (Pre) 1998 Q03 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 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 The general solution of the differential equation () 2 2 xdy - ydx = x + y dy is: English · EMRS PGT-2023 Q06 If a curve y = (x) f passes through the point () 1, -1 and satisfies the differential equation () y 1+ xy dx = x dy... English · EMRS PGT-2023