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-^3/2is the merely solution to this differential equation which satisfies such two initial conditions.

Related Discussions:- Example of differential equations

Geometry, In a square of side 8 cm two quadrant with taking the side of squ...

In a square of side 8 cm two quadrant with taking the side of square as radius are inscribed in the square..

Ratio, number of consonants to the number of letters in the English Alphabe...

number of consonants to the number of letters in the English Alphabet express answer in ratio

Find the maximum and minimum brightness values, Variable stars are ones who...

Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.

Integrals involving quadratics - integration techniques, Integrals Involvin...

Integrals Involving Quadratics To this point we have seen quite some integrals which involve quadratics. Example of Integrals Involving Quadratics is as follow: ∫ (x / x 2

What is the probability that the integer chosen is divisible, An integer i...

An integer is chosen at random from the first two hundreds digit. What is the probability that the integer chosen is divisible by 6 or 8. (Ans : 1/4 ) Ans:

Example of quadratic polynomial, Factor following. x ...

Factor following. x 2 - 20 x + 100 Solution In this case we've got three terms & it's a quadratic polynomial. Notice down as well that the constant

find the ratio of their 11th terms, The ratio of the sum of first n term...

The ratio of the sum of first n terms of two AP's is 7n+1:4n+27. Find the ratio of their 11th terms . Ans: Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t

Quartic polynomial, Question: Let f be a quartic polynomial (ie. a poly...

Question: Let f be a quartic polynomial (ie. a polynomial of degree 4). Suppose that f has zeros at -2; 1; 3; 4 and that f(0) = 4. Sketch a graph of f. If f(x) is

Non linear regression, solve the parameter estimate in v=a+bx+cx^2

solve the parameter estimate in v=a+bx+cx^2

Relative motion, how to find the minimum distance between any two particles...

how to find the minimum distance between any two particles which are in relative motion?

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages