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

Square numbers, determine the square of the following numbers ... a.8 b.13 ...

determine the square of the following numbers ... a.8 b.13 c.17 and d.80

Vector, uses of vector in daly life

uses of vector in daly life

Draw a graph model with the adjacency matrix, QUESTION (a) Draw a graph...

QUESTION (a) Draw a graph model with the following adjacency matrix.                         (b) The diagram below shows different cities labelled a to g and z. Also sh

Illustrate field properties of numbers, Q. Illustrate Field Properties of N...

Q. Illustrate Field Properties of Numbers? Ans. What the  associative law of addition  states is this: for any numbers a, b, and c,

Math World Problem, The ratio of gasoline to oil needed to run a chain-saw ...

The ratio of gasoline to oil needed to run a chain-saw is 16:1. If you have 3.5 mL of oil, how many millilitres of gasoline must you add to get the proper mixture?

Calculate the acceleration time, Question A 22 kW, 3-phase, 415 V, 40 A,...

Question A 22 kW, 3-phase, 415 V, 40 A, 50 Hz, 960 rpm, 0.88 PF squirrel cage induction motor drives a pump. The total inertia of the drives system is 1.2 kg-m2. Determine th

Determine the property of partial ordered relation, Determine the property ...

Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and  Answer: antisymmetric

Graphing sets of numbers, Q. Graphing Sets of Numbers? Ans. To  gr...

Q. Graphing Sets of Numbers? Ans. To  graph  a set of numbers on a number line means to plot, or locate, those positions on the line. The number that corresponds to a poin

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