Math Chapter Wise question with answer

Q01 The curve, for which () ∫ π/2 2 0 y' + 2xyy' dx subjected to y (0) = 1, y π 2 = 1 is extremised, is English · UPPSC GDC 2021 Q02 The differential equation of the family of curves which are orthogonal to y = x+ce–x is: English · UP PCS (Pre) 2006 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 The integral surface satisfying the equation ∂ ∂ 2 2 z z y + x = x + y x y and passing through the curve x = 1 – t,... English · Bihar (TRE 1.0) -2023 Q05 A solution-curve of the equation xy' = 2y, passing through (1, 2) also passes through English · DSSSB PGT 2021 Q06 A solution curve of the differential equation () 2 2 dy x + xy + 4x + 2y + 4 y = 0,x > 0, dx − − passes through the... English · DSSSB PGT 2021