Math Chapter Wise question with answer

Q01 If y=y(x) and (()) 2 sinx dy cosx, y 1 dx + = − + y(0)=1, then y 2 π is equal to English · LT 2018 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 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 Q04 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 Q05 If a and b are two odd prime numbers such that a > b, then a2 – b2 is: English · EMRS TGT-2023 Q06 If the equation Mdx + Ndy = 0 has one and only one solution, then the number of integrating- factor is English · DSSSB PGT 2021