Define system of simultaneous ordinary differential equations?

Question
Equations
asked 2020-11-30
Define system of simultaneous ordinary differential equations?

Answers (1)

2020-12-01
Step 1
For First order:
On simultaneous ordinary differential equation of the first order in which there are one or more than one variable in the number of equations.
Examples:
y'=y+2x
\(\displaystyle\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}={3}{y}+{2}{x}\)
Step 2
For Second order:
The simultaneous ordinary differential equations of the second order has one or more than one variable in the number of equations.
Examples:
\(\displaystyle{y}{''}+{4}{y}'+{4}{y}={25}{x}+{16}{e}^{{t}}\)
\(\displaystyle\frac{{{d}^{{2}}{y}}}{{{\left.{d}{x}\right.}^{{2}}}}+\frac{{5}}{{2}}\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}+{9}{y}={88}{x}+{5}{e}^{{t}}\)
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