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

Errors are useful in learning maths, Errors Are Useful :  While teaching c...

Errors Are Useful :  While teaching children, you must have found theft making mistakes off and on. How do you respond to the errors'? What do they tell you about the child-failur

Calcilate the height of the cone of which the bucket , A bucket of height 8...

A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate

Bottleneck for each product, A company makes 2 products, Product A and Prod...

A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B

Critical point of exponential functions and trig functions, Critical point ...

Critical point of exponential functions and trig functions, Let's see some examples that don't just involve powers of x. Example:  find out all the critical points for the

Algebra, how do i sole linear epuation

how do i sole linear epuation

What is a percentage, Q. What is a percentage? Ans. Percent  mean...

Q. What is a percentage? Ans. Percent  means "per hundred", or "out of 100". A percentage can be written as a ratio, or fraction, where the denominator (bottom) is 100.

Marketing., what is product life cycle

what is product life cycle

Calculate the price of the horseracing track, There are five horseracing tr...

There are five horseracing tracks in Kentucky. The Kentucky legislature allows only one track to be open at a time. How does this restriction affect the price the track can charge

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