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 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 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 Two linearly independent solutions of differential equation 2 0 d y dy y dx + + = + + = + + = + + = are English · PGT 2004 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 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