Math Chapter Wise question with answer

Q01 The differential equation for y=a cos (αx)+b sin (αy), where a and b are arbitrary constants is: English · KVS PGT 2022 Q02 For the differential equation x dy - y dx = 0 which of the following cannot be an integrating factor? English · RPSC PGT 2022 Q03 The integrating factor for the differential equation y (xy + 2x2 y2) dx + x (xy – x2 y2) dy = 0 is: English · JSSC PGT 2018 Q04 The differential equation for the family of surfaces x3 z + x2 y = c, where c is a parameter, is: English · JSSC PGT 2018 Q05 The general solution of the partial differential equation 2 z x y ∂ = + ∂ ∂ is of the form z = English · UP PGT 2021 Q06 Putting x = et and denoting d dt by θ, the differential equation 3 2 d y d y dy x + 3x + x + y = logx dx dx dx is t... English · UPPSC Ashram Paddhati 2021