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

Find out the domain of function - three dimensional space, Find out the dom...

Find out the domain of each of the following.  (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y  (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know

GEOMETRIC PROGRESSION, THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPE...

THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPECTIVELY AND THE COMMON RATIO IS POSITIVE.FIND THE COMMON RATIO

Parenteral calculations, 850ml is to be administered to a person over 8 hou...

850ml is to be administered to a person over 8 hours using a drop factor of 20 drops/ml what is the flow rate in gtts/min ?

Derivative for parametric equations, Derivative for Parametric Equations ...

Derivative for Parametric Equations dx/dy = (dx/dt) / (dy/dt) ,         given dy/dt ≠ 0 Why would we wish to do this? Well, remind that in the arc length section of the Appl

Cirlce Division, How can i calculate arc length for dividing a circle into ...

How can i calculate arc length for dividing a circle into 10 parts

30-60-90 degree triangle, : Find the length of the hypotenuse of a right tr...

: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.

Marketing plan and its parts, can you offer help with an entry level market...

can you offer help with an entry level marketing class and with developing charts and tables for the final marketing plan?

Product moment coefficient, Product Moment Coefficient This gives an i...

Product Moment Coefficient This gives an indication of the strength of the linear relationship among two variables. Note that this formula can be rearranged to have di

Area of regular polygon, Suppose a  regular polygon , which is an N-sided w...

Suppose a  regular polygon , which is an N-sided with equal side lengths S and similar angles at each corner. There is an  inscribed circle  to the polygon that has center C and ba

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