# what is the implicit solution to the differential equation dy/dx=1/y-x?

Update:

(dy/dx)=1/(y-x)

### 3 Answers

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- 2 months ago
rotchm,,

f = y-x

f ' = (dy/dx) - 1

Is this right?

hope you see this, no comment section makes it hard to reply.

- rotchmLv 72 months ago
Hints: Let f = y - x. Thus f ' = ?

Answer that & we will proceed.

Yes, f ' = y' - 1. Thus y' = f' + 1.

Now, use f = y-x & y' = f ' + 1 and plug these into your original eqs. What do you get?

BTW, you can reply by updating your original post.

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