Find the general solution. If an initial condition is given, find also the corresponding particular solution and graph or sketch it. (Show the details of your work.) 3. y' - y = 5.2 4. y' = 2y - 4x 5. y' + ky = e-kx 6. y' + 2y = 4 cos 2x, y(T) = 3 7. xy' = 2y+x3³ex == 8. y’+ ytan x = e -0.01x cos x, y(0) = 0 -2.5 9. y' + y sin x = ecos x, y(0) = 10. y' cos x + (3y - 1) sec x = 0, 11. y' = (y-2) cot x 12. xy' + 4y = 8x4, y(1) = 2 13. y = 6(y – 2.5)tanh 1.5x - y(T) = 4/3 22-28 NONLINEAR ODES Using a method of this section or separating variables, find the general solution. If an initial condition is given, find also the particular solution and sketch or graph it. 22. y' + y = y², y(0) = -3 23. y' + xy = xy-1, 24. y' + y = -x/y 25. y' = 3.2y-10y2 y(0) = 3 26. y' = (tan y)/(x-1), y(0) = π 27. y' = 1/(6e-2x) 28. 2xyy' + (x-1)y² = x²e (Set y² = z) 29 00 DEPORT PROJECT. Transformation of ODES.