separable equation via substituion (1 Viewer)

[howcanibesmarter]

how do u find the substituion if the question did not give you one

 

[cossine]

View attachment 39319
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]

so u would jsut trial and error for this q?

 

[cossine]

so u would jsut trial and error for this q?

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]

It uses integrating factor method. Here is more on that: https://en.wikipedia.org/wiki/Integrating_factor

but thats not in syllabus lmao, this is for a school test

 

[cossine]

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]

It is not that hard to quickly learn. You have asked how to solve it without substitution

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 ..."

 

[cossine]

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]

View attachment 39319
how do u find the substituion if the question did not give you one

in ext 1, they always give the substitution if one is required for the question

 

[howcanibesmarter]

in ext 1, they always give the substitution if one is required for the question

ok ty