Solve the differential equations in Exercises 1-14. dy 1. x- dx +y=e, x>0 dy dx 2. ex. + 2exy = 1 3. xy' + 3y sin .x = +2 x > 0 4. y' (tan x)y = cos² x, -π/2 < x < π/2 dy 1 5. x + 2y = 1 - x > 0 dx 6. (1 + x)y' + y = √x 8. e² 10. x dy dx + 2e2y = 2x COS X = - X 2y, x>0 7. 2ye2+ y == - 9. xy' y=2x ln x 1)3 ds + 4(t − 1)²s = t + 1, t>1 11. (t - 1)3 ds - dt ds 1 12. (+1) +2s3(t + 1) + t> -1 dt (t + 1)²' dr 13. sin 0 +(cos 0)rtan 0, 0 < 0 < π/2 de dr 14. tan 0 de +rsin² 0, 0 < 0 < π/2