applications of linear differential equations

Question

I’m writing a paper on the applications of linear differential equations[undergraduate level] could be in physics, chemistry, engineering, business..etc, since I am fairly new to doing research, can someone help me by giving ideas as to what applications would be good to include. thanks

maybe this will be helpfull
http://work.colum.edu/~cshaw/old/class_221/lecture_10.4.pdf — pw1822, Feb 10 '15 at 20:51
@sara132: http://www.engr.sjsu.edu/trhsu/Chapter%203%20First%20order%20DEs.pdf, http://www.terpconnect.umd.edu/~lvrmr/2012-2013-F/Classes/MATH246/NOTES/FirstEqn2.pdf, http://ask.fxplus.ac.uk/tools/HELM/pages/workbooks_1_50_jan2008/Workbook19/19_4_applications_diffrntl_eqns.pdf — Amzoti, Feb 11 '15 at 02:35

MattAllegro · Answer 1 · 2021-07-05T21:37:31.610

2

The second-order ordinary differential equation $$\ddot{x}+2\,p\,\dot{x}+\omega^2x=f(t)$$ describes damped forced vibrations of mass-spring systems, which is quite a topic in mechanics and has an application in automotive engineering, hopefully interesting for your purpose.

Another popular ODE, of order $1$ but non-linear, describes a model of population growth and is called logistic equation.

edited Jul 05 '21 at 21:37

answered Feb 10 '15 at 22:46

MattAllegro

3,434

1

The logistic equation is non linear – worldsmithhelper Jul 05 '21 at 20:38
@worldsmithhelper thank you for your peer review!! Edited accordingly, I may elaborate more soon :) – MattAllegro Jul 05 '21 at 21:38

score 0 · Answer 2 · answered Nov 01 '18 at 10:41

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Kepler's laws of planetary motion can be derived from Newton's law of gravitation and newtons laws of motion and solving the differential equations

answered Nov 01 '18 at 10:41

Dr. N.Padmanabhan

91

Newton's law of gravitation and Kepler's laws of planetary motion are non-linear – worldsmithhelper Jul 05 '21 at 20:39

applications of linear differential equations

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