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

Multiplication of two unlike terms with opposite signs, The product on mult...

The product on multiplying - 4bc with 2a is - 8abc. That is, a term with minus sign multiplied with a term having a positive term gives a product which has a minus sign. On the

SOLID MENSURATION, The base of an isosceles triangle and the altitude drawn...

The base of an isosceles triangle and the altitude drawn from one of the congruent sides are equal to 18cm and 15cm, respectively. Find the lengths of the sides of the triangle.

Explain the vertex formula, Explain the Vertex Formula ? The vertex for...

Explain the Vertex Formula ? The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax

Mean value theorem find out all the numbers c, Find out all the numbers c t...

Find out all the numbers c that satisfy the conclusions of the Mean Value Theorem for the given function.                                               f ( x ) = x 3 + 2 x 2 -

MATH HELP: URGENT, the andersons are buying a new home and need to fence th...

the andersons are buying a new home and need to fence their yard. the yard is 40 ft by 80 ft. each fencing section is 8ft. how many sections will they need?how many posts will they

How to convert decimals to percentages, Q. How to Convert Decimals to Perce...

Q. How to Convert Decimals to Percentages? Ans. Remember that when you have a decimal number, the digits to the right of the decimal point have the following meaning:

Maximax method-decision making under uncertainty, MAXIMAX method Maxima...

MAXIMAX method Maximax method is based upon 'extreme optimism' the decision maker chooses that particular strategy which corresponds to the maximum of the maximum pay off for e

Statisctics, I would like to know what a symbol in my homework means?

I would like to know what a symbol in my homework means?

How much area will it irrigate in 30 minutes , Water in a canal 30 dm wide ...

Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?

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