Math Chapter Wise question with answer

Q01 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 Q02 The orthogonal trajectories on the sphere x2 + y2 + z2 + 1 upon its intersection with the family of planes z = k, –... English · JSSC PGT 2018 Q03 Find the rectangular coordinate of the point with cylindrical coordinate (2, 2π/3, 1). English · JSSC PGT 2018 Q04 The functional () ∫ π '2 2 2 0 y – y + 2xy dx with () π y 0 = 0,y = 0 2 can be extremized on the curve- English · UPPSC Polytechnic Lecturer 2021 (I) Q05 The second order partial differential equation Rr + Ss + Tt + f(x, y, z, p, q) = 0, where R, S, T are continuous fu... English · UPPSC Polytechnic Lecturer 2021(II) Q06 An integral equation corresponding to the differential equation 2 d y dy + x + y = 0 dx with the initial condition... English · UPPSC Polytechnic Lecturer 2021(II)