How many solutions are there for differential equation, Mathematics

Assignment Help:

If a differential equation does have a solution how many solutions are there?

As we will see ultimately, this is possible for a differential equation to contain more than one solution. We would like to identify how many solutions there will be for a specified differential equation.

A sub-question here is as well. What types of conditions on a differential equation are required to acquire a single unique solution to the differential equation?

Both such question and the sub-question are more significant than you might realize. Assume that we derive a differential equation which will provide the temperature distribution in a bar of iron at any time t. If we resolve the differential equation and end up along with two or more completely different solutions we will have problems.  Look at the subsequent situation to see this.

If we subject 10 identical iron bars to identical conditions they must all exhibit similar temperature distribution. Thus only one of our solutions will be correct, but we will have no technique of knowing that one is the accurate solution.

This would be nice if, throughout the derivation of our differential equation, we could ensure that our assumptions would provide us a differential equation by solving, will yield a particular unique solution.

This question is generally termed as the uniqueness question in a differential equations course.


Related Discussions:- How many solutions are there for differential equation

Prove which divide these sides in the ratio 2: 1, In a right triangle ABC, ...

In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that  9AQ 2 = 9AC 2 +4BC 2

Simple interest, write a program C++ programming language to calculate sim...

write a program C++ programming language to calculate simple interest, with it algorithm and it flowchart

Developing an understanidng of multiplication, DEVELOPING AN UNDERSTANIDNG ...

DEVELOPING AN UNDERSTANIDNG OF MULTIPLICATION :  The most important aspect of knowing multiplication is to understand what it means and where it is applied. It needs to be first i

Engg maths, How to get assignment to solve and earn money

How to get assignment to solve and earn money

If she remains going at similar rate how long will it take, Susan traveled ...

Susan traveled 114 miles in 2 hours. If she remains going at the similar rate, how long will it take her to go the remaining 285 miles of her trip? There is a 1 in 6 chance of

Formulas, how many formulas there for the (a-b)2

how many formulas there for the (a-b)2

Geometry, prove angle MJL is congruent to angle KNL

prove angle MJL is congruent to angle KNL

Rhjuu, Ask questutfjion #Minimum 100 words accepted#

Ask questutfjion #Minimum 100 words accepted#

Define multiplication rule in probability, Q. Define Multiplication Rule in...

Q. Define Multiplication Rule in probability? Ans. A family has two girls, Ann and Barb, and three boys, Carl, David and Earl, in it. In how many ways can the mother pick

Steps for radio test - sequences and series, Steps for Radio test Assum...

Steps for Radio test Assume we have the series ∑a n Define, Then, a. If L b. If L>1 the series is divergent. c. If L = 1 the series might be divergent, this i

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