Math Chapter Wise question with answer

Q01 Differential equation of the orthogonal trajectories of the family of parabolas y = ax2 is English · UP PCS (Pre) 2008 Q02 The general solution of the differential equation () 2 2 xdy - ydx = x + y dy is: English · EMRS PGT-2023 Q03 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 Q04 Let the general integral of the partial differential equation () () () ∂ ∂ 2 z z 2xy -1 + z - 2x = 2 x - yz z y be... English · Bihar (TRE 1.0) -2023 Q05 The partial differential equation () 2 2 2 ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ 2 2 u u u 1 u u x + x - y - y + - = 0 x y 4 y x x... English · Bihar (TRE 1.0) -2023 Q06 The differential equation representing the family of circles touching y-axis at the origin is English · Bihar (TRE 1.0) -2023