In each of Problems 1 through 10, solve the given equations using linear differential equations. 1. y' = x - 2y 2. (y + 1)dx + (4x - y)dy = 0, when x = 4, y = 4 3. ydx + (1 - 3y)xdy = 3ydy, when x = 3, y = 2 4. y' = x - 4y, when x = 2, y = 3 5. y' = csex + y cotx LIS 6. y' = x - 2y cot 2x 7. (y - x + xy cotx)dx + xdy = 0 8. y' = 1 + 3y tan x 9. 2y(y2 - x)dy = dx, when x = 2, y = 2 10. y' = x3 - 2xy, when x = 1, y = 1