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

Show that the height of the aero plane, From an aero plane vertically ...

From an aero plane vertically above a straight horizontal road, the angles of depression of two consecutive milestones on opposite sides of the aero plane are observed

Rebecca is 12.5% taller than debbie how tall is rebecca, Rebecca is 12.5% t...

Rebecca is 12.5% taller than Debbie. Debbie is 64 inches tall. How tall is Rebecca? Because Rebecca is 12.5% taller than Debbie, she is 112.5% of Debbie's height (100% + 12.5%

Define symmetric, Define symmetric, asymmetric and antisymmetric relations....

Define symmetric, asymmetric and antisymmetric relations. Ans: Symmetric Relation A relation R illustrated on a set A is said to be a symmetric relation if for any x,

Fraction, in a garden 1/8 of the flowers are tulips. 1/4 of the tulips are ...

in a garden 1/8 of the flowers are tulips. 1/4 of the tulips are rd. what fraction of the flowers in the garden are red tulips

Find out the roots of the quadratic equation, Find out the roots of the fol...

Find out the roots of the following quadratic equation. 3x 2 + 7x = 0 Solution: Using Equation 6, one root is determined. x = 0 Using Equation 7, substitute the

#two variable system with substitution, i need help with 3x+5y=7 2x-5y=8

i need help with 3x+5y=7 2x-5y=8

Algegra, what''s the main purpose of algebra in our daily life

what''s the main purpose of algebra in our daily life

Word problems, please can you help me with word problems

please can you help me with word problems

Between that two call numbers should she place the book, A librarian is ret...

A librarian is returning library books to the shelf. She uses the call numbers to denote while the books belong. She requires placing a book about perennials along with a call numb

Shares and divend, a company of 10000 shares of rs 100 each declares a annu...

a company of 10000 shares of rs 100 each declares a annual dividend of 5 %.what is the total amount dividend paid by the company

Write Your Message!

Name

Email id

Message

Verfication Code

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!

Submit Assignment

User Account

All Pages