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

Function of a function, Function of a Function Suppose ...

Function of a Function Suppose y is a function of z,            y = f(z) and z is a function of x,            z = g(x)

I need help with math, can i get help with math just with fractions i want ...

can i get help with math just with fractions i want to catch up with my class

Complex root - fundamental set of solutions, Example : Back into the comple...

Example : Back into the complex root section we complete the claim that y 1 (t ) = e l t cos(µt)        and      y 2 (t) = e l t sin(µt) Those were a basic set of soluti

Linear graph, in the form of linear graph interpret the ralationship betwee...

in the form of linear graph interpret the ralationship between two quantities

What is the new price of the coat, An $80.00 coat is marked down 20%. It do...

An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat? Find out 20 percent of the original p

Give introduction to pythagorean theorem, Give Introduction to Pythagorean ...

Give Introduction to Pythagorean Theorem ? The Pythagorean Theorem says that for any right triangle: a 2 + b 2 = c 2 , where c is the hypotenuse, and a and b are the legs. T

Explain simplifying rational expressions, Explain Simplifying Rational Expr...

Explain Simplifying Rational Expressions ? A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it

Quadric surfaces, identify 4 sketch the quadric surfaces

identify 4 sketch the quadric surfaces

Division, Before taking up division of polynomials, let us acquaint...

Before taking up division of polynomials, let us acquaint ourselves with some basics. Suppose we are asked to divide 16 by 2. We know that on dividing 16 by

Binimial, theory behind the greatest term in the binomial expansion

theory behind the greatest term in the binomial expansion

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