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Can you help me with solving the problem e^xy +x^2 - y^2=10?
1 Answer
- 1 decade agoFavorite Answer
Honestly, no. Beyond the fact that you haven't said what you want to solve for, that happens to be a pretty tricky problem.
You have to solve for something, like for x, or for y. I'll go out on a limb here and say that you want to solve for dy/dx, mostly cuz that's really the only thing you could easily solve for. We'll differentiate implicity:
(y+xy')e^(xy) + 2x - 2yy' = 0
ye^(xy)+2x = 2yy' - xy'e^(xy)
ye^(xy)+2x = (2y-xe^(xy))y'
y' = [2x + ye^(xy)]/[2y-xe^(xy)]
If that's not what you needed I don't know what it would be.
