Initial condition for differential equations, Mathematics

Assignment Help:

Initial Condition(s) are a set of conditions, or a condition on the solution which will permit us to find out that solution which we are after.  Initial conditions are frequently abbreviated of the form:

y(t0) = y0 and or y(k)(t0) = yk

Thus, we can say, initial conditions are values of the solution or/and its derivative(s) at exact points. As we will notice eventually, solutions to "nice sufficient" differential equations are unique and thus only one solution will meet the specified conditions.

For a specified differential equation the number of initial conditions are needed, will depend on the order of the differential equation as we will notice.


Related Discussions:- Initial condition for differential equations

Each child is unique in learning development, Each Child Is Unique :  Alth...

Each Child Is Unique :  Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth

What is the conditional probability based on die questions, A die is rolled...

A die is rolled twice and the sum of the numbers appearing on them is observed to be 7.What is the conditional probability that the number 2 has appeared at least once? A) 1/3

The sum of their ages is 104 how old is shari, Sam's age is 1 less than dou...

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

Toni tiger, Application Practice Answer the following questions. Use Equat...

Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Sav

Find quadratic equation using the quadratic formula, Find quadratic equatio...

Find quadratic equation using the Quadratic Formula: Solve the subsequent quadratic equation using the Quadratic Formula. 4x 2 + 2 = x 2 - 7x: Solution: Step 1.

Objective type , when is the trnscribing process of data preparation irrele...

when is the trnscribing process of data preparation irrelevant ? a)CAPI b) mall panel c) in home interview d) all of them

Basic mathematics, I need help with my homework, I am to the edge right now...

I need help with my homework, I am to the edge right now with this w=5pq/2

Example for introducing counting, Four-year-old Mariamma was reciting numbe...

Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul

Funtions, find the no of solution of 2*3*4*5*6*6

find the no of solution of 2*3*4*5*6*6

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