Math Chapter Wise question with answer

Q01 Which one of the following is a Volterra integral equation? English · UPPSC Polytechnic Lecturer 2021(II) Q02 The solution of the Volterra integral equation () () () ∫ x 0 y x = 1+ x - t y t dt, when y0(x) = 0, is English · UP Higher Asst. Prof. 2021 Q03 The general solution of the differential equation () 2 2 xdy - ydx = x + y dy is: English · EMRS PGT-2023 Q04 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 Q05 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 Q06 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