1. Solve the D.E. (xy2 + x)dx + (yx2 + y)dy = 0.
Sol: Given D.E.: (xy2 + x)dx + (yx2 + y)dy = 0
⇒ x(y2 + 1)dx + y(x2 + 1)dy = 0
2. Solve the D.E. e x tanydx + (1 - ex) sec2ydy = 0
Sol: Given D.E.: ex tanydx + (1 - ex)sec2ydy = 0
Homogeneous Equations type
8. Solve (x2 + y2) dx = 2xydy.
Sol: Given D.E.: (x2 + y2) dx = 2xydy
Non-Homogeneous Equations type
11. Solve (2x + y + 3)dx = (2y + x + 1)dy.
LINEAR EQUATIONS TYPE
