solve with explanation

Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Then find the general solution. Begin the process of coming up with your own original way of thinking about how to identify what to do with these equations, and share that with others. Though the solutions here are in a specific form, your solutions may be in a different form, but they should be equivalent. I will honor the decision you make for what form you decide the solution can take, based on the method of solution. 61. (y' + 1) dx = ysec xdy 2In(2 + 1)-2x- sin 2.x = C 62. 1--+0=1 e (1 ) = 5+ C 63. 2xyy' + y' =2x2 2p3 =C 3 dy x - 2y - 3 64. C d.x X 5 65. dy 1+ cosx dx 2 - sin y 2y+ cosy-x - sinx = C 66. xy' + xy =1-y V = X xe dy 67. 2xy + 1 dx x + 2 y xytxty' = C 68. xy' = y+ xcsc(y/x) cos(y / x) + Inx = c 69. xy'ty-xy' =0 y= (Cx-x) 70. dy dx xte _+xyte' =C 3+