it would be trivial to deal with if that did not have actually the one in ~ the end because I could use separation that variables. I tried to use a readjust of variables $ y = xi -x$ yet that go not acquire me anywhere. Does a an easy solution to this ODE exist?

HINT:
Set $displaystylefrac yx=v$
$displaystyleimplies y=vximpliesfracdydx=v+xfracdvdx$
Reference : Homogeneous plain Differential Equation

$$dfracd ydx=dfracyx+1quadLongrightarrowquadfrac1xdfracd ydx-frac1x^2y=frac1xquadLongrightarrowquadleft(fracyx ight)"-(ln x)"=0quadLongrightarrowquad fracyx=ln x+c,$$for part $c$ constant.
You are watching: How to solve non separable differential equations


Thanks because that contributing response to sirhenryjones-museums.org Stack Exchange!
Please be sure to answer the question. Carry out details and also share your research!But avoid …
Asking for help, clarification, or responding to various other answers.Making statements based on opinion; earlier them increase with references or an individual experience.Use sirhenryjones-museums.orgJax to layout equations. sirhenryjones-museums.orgJax reference.
See more: When I See Ya Ty Dolla Sign
To discover more, view our advice on writing great answers.
post Your answer Discard
By click “Post her Answer”, friend agree come our terms of service, privacy policy and cookie plan
Not the answer you're feather for? Browse various other questions tagged ordinary-differential-equations or questioning your very own question.
Cannot fix the non-exact ODE, ns don't know how to find the integrating aspect such the make the precise ODE.

site style / logo © 2021 ridge Exchange Inc; user contributions licensed under cc by-sa. Rev2021.11.10.40705
your privacy
By clicking “Accept every cookies”, girlfriend agree ridge Exchange have the right to store cookies on your device and disclose details in accordance v our Cookie Policy.