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

Finding the inverse of a function , Finding the Inverse of a Function : Th...

Finding the Inverse of a Function : The procedure for finding the inverse of a function is a rather simple one although there are a couple of steps which can on occasion be somewh

Ronding off numbers, how to round off numbers to the nearest tens and to th...

how to round off numbers to the nearest tens and to the nearest hundred

Linear programming problem, I have a linear programming problem that we are...

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

Arithmetic/geometric sequences and binomial expansion, find s10 for the ari...

find s10 for the arithmetic sequenxe inwhich a1=5 and a10=68

Area of a parallelogram x what is the height in terms of x, The area of a p...

The area of a parallelogram is x 8 . If the base is x 4 , what is the height in terms of x? Since the area of a parallelogram is A = base times height, then the area divided by

Operation research, can u suggest me topics for phd in or for any industrie...

can u suggest me topics for phd in or for any industries

common divisors greater than one, Let R be the relation on Z + defined by...

Let R be the relation on Z + defined by aRb iff gcd(a; b) = 1 (that is, a and b have no common divisors greater than one). Explain whether R is reflexive, irreflexive, symmetri

Determine y inverse for x2 + y 4 = 10, Determine  y′′  for           ...

Determine  y′′  for                                x 2 + y 4   = 10 Solution: We know that to get the second derivative we required the first derivative and to get that w

Shortcomng methods for teaching hto in maths, 1.What are the strengths and ...

1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia

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