(x y-10)dx (x-y-2)dy=0 191172-(x+y-10)dx+(x-y-2)dy=0

"main" 07/2/16 page 90 90 CHAPTER 1 FirstOrder Differential Equations 31 Consider the general ﬁrstorder linear differential equation dy dx p(x)y= q(x), (1925) wherep(x)andq(x)arecontinuousfunctionsonsome interval (a,b) (a) Rewrite Equation (1925) in differential form, and show that an integrating factor for the result

(x+y-10)dx+(x-y-2)dy=0-4 Answers4 Active Oldest Votes This answer is useful 2 This answer is not useful Show activity on this post If x 2 x y = 10, then y = 10 x − x (for x ≠ 0Δy Δx = f (x Δx) − f (x) Δx 4 Reduce Δx close to 0 We can't let Δx become 0 (because that would be dividing by 0), but we can make it head towards zero and call it "dx" Δx dx You can also think of "dx" as being infinitesimal, or infinitely small Likewise Δy becomes very small and we call it "dy", to give us dy dx = f (x dx