Math Chapter Wise question with answer

Q01 The general solution of the differential equation () 2 2 xdy - ydx = x + y dy is: English · EMRS PGT-2023 Q02 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 Q03 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 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 Consider the wave equation ∂ ∂ 2 2 u u = 4,0 < x < π,t > 0 t x with u (0, t) = u (π, t) = 0, u(x, 0) = sin x and ∂... English · Bihar (TRE 1.0) -2023