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

Word problem in algebra, robin runs 5 kilometers around the campus in the s...

robin runs 5 kilometers around the campus in the same length of time as he can walk 3 kilometers from his house to school. If he runs 4 kilometers per hour faster than he walks, ho

Relations, Suppose A and B be two non-empty sets then every subset of A Χ B...

Suppose A and B be two non-empty sets then every subset of A Χ B describes a relation from A to B and each relation from A to B is subset of AΧB. Normal 0 fals

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.

#Famous Numbers Exercise, Euler''s Constant (e) Approximate the number to t...

Euler''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.

Statistics, what is meant by "measure of location"

what is meant by "measure of location"

Trigonometric ratios, to difine trigonometric ratios of an angle,is it nece...

to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?

Fermat''s little theorem, 1. How many closed necklaces of length 7 can be m...

1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Distance is given then find the value of k, In the graphical representatio...

In the graphical representation of a frequency distribution if the distance between mode and mean is k times the distance between median and mean then find the value of k.

The sum of the clock, how many times In a 12 hour period will he numbers ad...

how many times In a 12 hour period will he numbers add up to 6? (hint 3:00 is one answer0

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