Math Chapter Wise question with answer

Q01 If y = sin (log x), then which of the following is correct? English · UP PGT 2021 Q02 Which of the following is the singular solution of the differential equation– dy 5 y x? dy dx = + English · UP PCS (Pre) 2007 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 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 The equation (αxy3 + y cos x)dx + (x2 y2 + βsinx) dy = 0 is exact for English · Bihar (TRE 1.0) -2023 Q06 The differential equation for y=a cos (αx)+b sin (αy), where a and b are arbitrary constants is: English · KVS PGT 2022