Example of differential equations, Mathematics

Assignment Help:

y(x) = x^-3/2 is a solution to 4x² y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64

Solution: As we noticed in previous illustration the function is a solution and we can after that notice that:

185_Example of differential equations.png

And therefore this solution also meets the initial conditions of y (4) = 1/8 , and y'(4) = -3/64.

Actually, y (x) = x-^3/2is the merely solution to this differential equation which satisfies such two initial conditions.

Related Discussions:- Example of differential equations

Faltings theorem, What is Faltings Theorem? Explain Faltings Theorem

What is Faltings Theorem? Explain Faltings Theorem

Mashed patatos, I have 6 cups of patatos that I have to share with 13 frien...

I have 6 cups of patatos that I have to share with 13 friends write that as the nearest hundredth

International marketing, what are challenges and solution of international ...

what are challenges and solution of international marketing

Explain equivalent fractions, Explain Equivalent Fractions ? Two fracti...

Explain Equivalent Fractions ? Two fractions can look different and still be equal. Different fractions that represent the same amount are called equivalent fractions. Ar

How many days are there in a year, There are m months in a year, w weeks wi...

There are m months in a year, w weeks within a month and d days in a week. How many days are there in a year? In this problem, multiply d and w to obtain the total days in one

Functions of several variables - three dimensional space, Functions of Seve...

Functions of Several Variables - Three Dimensional Space In this part we want to go over a few of the basic ideas about functions of much more than one variable. Very first

Abstract Algebra, let R be a (noncommutative) ring. Given that a,b and a+b ...

let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit

Problems involving motion - word problems, Problems Involving Motion - Word...

Problems Involving Motion - Word Problems: How far can a car travelling at a rate of 52 miles per hour travel in 2½ hours? Solution: Using Equation 13: s = vavt

Utilizes the definition of the limit to prove the given limi, Utilizes the ...

Utilizes the definition of the limit to prove the given limit. Solution In this case both L & a are zero. So, let ε 0 so that the following will be true. |x 2 - 0|

Calculate and plot the cdf of p-values, A discrete-valued random variable X...

A discrete-valued random variable X takes values in 0, 1, 2, . . . , where p(X = i) = π i. (a) Write down formulas for: the p-value at X = i the probability distributi

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages