Yash P.
asked • 11/29/21Solve : (x²y² + 2)y dx + (2 - x²y²)x dy = 0
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1 Expert Answer
Jason E. answered • 11/30/21
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Professional Math Tutor, 20+ years of experience
I can add more to this solution later. But here is a start.
The equation is of the for Mdx+Ndy=0
It is unfortunately NOT exact, because My = -Nx.
Try dividing by xy first.
- Jason
Luke J.
I'd recommend you rework your algebra, 1 / (xy) is not the integrating factor. If you check your partial derivatives to check for exact, it does not line up with 1 / (xy).
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11/30/21
Jason E.
It was just a suggestion. But yes, you are correct -- It doesn't work out this way.
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11/30/21
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Jason E.
I've added a partial answer. Let me know if you need me to follow up.11/30/21