- #1
Char. Limit
Gold Member
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- 22
So, I tried putting this on the homework forum, but no one could think of a solution. So I'm going to put it here, hoping someone here would know...
How would you solve this?
[tex]\frac{dy}{dx}=5x^2-\frac{6}{y-2}[/tex]
Note: This is no longer homework (it was a challenge question, but the challenge was thrown out; the teacher found it too difficult), so don't worry about spoiling anything.
Also: So far, (I'm learning diff EQs independently, and the challenge question was for a Calculus class) I only know the methods of substitution and finding an integration factor. I've heard of transforms, though. Could any of them help? Laplace, maybe?
How would you solve this?
[tex]\frac{dy}{dx}=5x^2-\frac{6}{y-2}[/tex]
Note: This is no longer homework (it was a challenge question, but the challenge was thrown out; the teacher found it too difficult), so don't worry about spoiling anything.
Also: So far, (I'm learning diff EQs independently, and the challenge question was for a Calculus class) I only know the methods of substitution and finding an integration factor. I've heard of transforms, though. Could any of them help? Laplace, maybe?