- Seatwork Obtain The General Solution Of The Following Differential Equations 1 Xy2 X Dx X Y Y Dy 0 Ans X 1 (22.44 KiB) Viewed 23 times
Seatwork: Obtain the general solution of the following differential equations 1. (xy2 + x) dx + (x®y - y) dy = 0 ans: (x2-1)(y2 + 1) = C 2. dx = (1 + ) secx dt ans: 2x + sin2x = (1+ t2y2 + c 3. y = y sec x ans: y = c(sec x + tan x) 4. xy' (2-1) = y (x - 1) ans: x + 2y + c = In (xy) 5. xly - 1) dx + (x + 1) dy = 0; if y = 2 when x = 1, determine y when x = 2 ans: y = 1.55 6. sin x sin y dx + cos x cos y dy = 0 ans: sin y = c OS X 7. sec 2x cos y dx + (cos 2x + cos 2x cot? y) dy = 0 ans: tan 2x + 2 In cscy - cotyl = = C