Solve the following differential equations: 1. (y 2 + yx) dx − x2 dy = 0 2.
dy x + 3y = dx 3x + y
3. x
dy 1 +y = 2 dx y
dy = 1 + ey−x+5 dx dy 1−x−y 5. = dx x+y √ 6. −y dx + (x + xy) dy = 0 4.
7. (x + 3y − 4) dx + (x + 4y − 5) dy = 0 8. (x + yey/x ) dx − xey/x dy = 0 9. (2x − 3y + 4) dx + 3(x − 1) dy = 0 10. y − t
dy dy = 6 − 3t2 dt dt