/sci/ - Science & Math » Thread #10967994

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Anonymous Thu 12 Sep 21:26:24 2019 No.10967994 View Reply Original Report

Quoted By: >>10968045 >>10968084 >>10968085

This a practice problem, can someone help me out here I feel like somethings wrong, but I can’t find the issue

Anonymous

Anonymous Thu 12 Sep 2019 21:47:54 No.10968045 Report

Quoted By:

>>10967994
Welp

Anonymous

Anonymous Thu 12 Sep 2019 22:06:53 No.10968084 Report

Quoted By:

>>10967994
Holy shit I won't help you with that messy writing use LaTeX

Anonymous

Anonymous Thu 12 Sep 2019 22:08:18 No.10968085 Report

Quoted By:

>>10967994
Notice this:
$2xy + x^2 y' = y^2$
$\frac{d}{dx} [ x^2 y ] = y^2$
Then substitute
$u = x^2 y$ .
You get
$\frac{du}{dx} = \frac{u^2}{x^4}$
This equation is separable. Solve for u , then substitute y and x back into u.

Anonymous

Anonymous Fri 13 Sep 2019 07:11:17 No.10968989 Report

Quoted By: >>10969352

Retaught myself this since I haven't done this for like 4 years. I'm guessing your homework is already due but just for reference.

Bernoulli ODE - look up the format and make the substitution
should be like
$u = y^{1-n}$
for n = 2 in this case.

Solution should be
$y = \frac{3x}{1+3cx^3}$

If you're stuck in the future on these types of problems any online ode solver (wolfram, symbolab) should be able to do simple ODEs like these. Good luck with your studies.

Anonymous

Anonymous Fri 13 Sep 2019 13:20:33 No.10969352 Report

Quoted By:

>>10968989
Actually I have no homework it’s just a practice problem for upcoming tests, but thanks, trying to do homogenous just doesn’t work
It becomes super bulky and the integrals just suck

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