Real and distinct roots, Mathematics

Assignment Help:

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start along with the differential equation.

ay′′ + by′ + cy = 0

 Write down the feature equation.

 ar2 + br + c = 0

 So solve the characteristic equation for the two roots r1 and r2. It provides the two solutions

y1(t) = er1t and y2(t) = er2t

Here, if the two roots are real and distinct that is "nice enough" by the general solution  r1 ≠ r2. This will turn out that these two solutions are as

 y (t )= c er1 t + c er2 t

As with the previous section, we'll ask that you believe us while we means that such are "nice enough". You will be capable to prove this simply enough once we reach a later section.

With real, distinct roots there actually isn't an entire lot to do other than work a couple of illustrations so let's do that.


Related Discussions:- Real and distinct roots

Tests for an ideal index number, Tests for an Ideal Index Number 1. F...

Tests for an Ideal Index Number 1. Factor Reversal Test Factor Reversal Test indicates that when the price index is multiplied along with a quantity index that is factors

Share and dividend, give me a proper project on share and dividend of minim...

give me a proper project on share and dividend of minimum 25 pages

Algebra, what is the answers of exercise 3.1

what is the answers of exercise 3.1

Activity on Node, schedulling problem with variability in task times

schedulling problem with variability in task times

Constrcut the adjacency matrix, Constrcut the adjacency matrix and the adja...

Constrcut the adjacency matrix and the adjacency lists for the graph G belowr.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd