howcanibesmarter
Well-Known Member
how do u find the substituion if the question did not give you one
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separable equation via substituion (2 Viewers)
- Thread starter howcanibesmarter
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how do u find the substituion if the question did not give you one
You don't. If you think a method may work then you should attempt that method. It does not always have to be substitution.
howcanibesmarter
Well-Known Member
so u would jsut trial and error for this q?
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One does not need to do it by substitution at all. You can put it in wolframalpha and show steps:
It uses integrating factor method. Here is more on that: https://en.wikipedia.org/wiki/Integrating_factor
So it turns out the differential equation is a bernoulli differential equation. From there you can figure out the substitution required.
https://www.wolframalpha.com/input?i=y'+=+(x^2+y^2)/xy
howcanibesmarter
Well-Known Member
but thats not in syllabus lmao, this is for a school test
It is not that hard to quickly learn. You have asked how to solve it without substitution
howcanibesmarter
Well-Known Member
no i meant "HOW to find the substituion", not how to solve it without substitution bruhhh
i.e. they give you the same euqation. THEN the question goes "by finding a suitable substituion, solve ..."
I will leave you to it
scaryshark09
∞∆ who let 'em cook dis long ∆∞
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in ext 1, they always give the substitution if one is required for the question
howcanibesmarter
Well-Known Member
ok ty