Math Chapter Wise question with answer

Q01 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 Q02 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 Q03 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 Q04 Let, f, g: [– 1, 1] → → → R, f(x) = x3, g(x) = x2 |x|. Then English · Bihar (TRE 1.0) -2023 Q05 If a and b are two odd prime numbers such that a > b, then a2 – b2 is: English · EMRS TGT-2023 Q06 If y = 1 msin x e −, then 3 d y 3 dx x=0 will be equal to- English · RPSC PGT 2022