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-3/2 is the merely solution to this differential equation which satisfies such two initial conditions.


Related Discussions:- Example of differential equations

If the area of the parallelogram is 36 m2 what is the height, The height of...

The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m 2 , what is the height in meters? Let x = the measure of the base a

Statistics Assignment, I need help in assignment of stats? Please give me a...

I need help in assignment of stats? Please give me assist in my stats exam.

Index shift - sequences and series, Index Shift - Sequences and Series ...

Index Shift - Sequences and Series The main idea behind index shifts is to start a series at a dissimilar value for whatever the reason (and yes, there are legitimate reasons

Multiplying mixed numbers, Q. Multiplying Mixed Numbers? Ans. Mult...

Q. Multiplying Mixed Numbers? Ans. Multiplying mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions 2. Multiply the fractions 3.

Taylor series - series solutions to differential equations, Once we get out...

Once we get out of the review, we are not going to be doing a lot with Taylor series, but they are a fine method to get us back into the swing of dealing with power series. Through

Maths for fun-mathematics- in our lives, Maths For Fun :  Often, when I ha...

Maths For Fun :  Often, when I have time on my hands, I try to solve interesting mathematical questions of the following kind. Sometimes my friends and I create the problems, and

An even number is selected, Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, ...

Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected".

How to converting percents to fractions, How to Converting Percents to Frac...

How to Converting Percents to Fractions ? To convert a percent to a fraction: 1. Remove the percent sign. 2. Create a fraction, in which the resulting number from Step 1 is

Subspace of r containing n, Give an example of each of the following given ...

Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of

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