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

Fractions, #question.mario has 3 nickelsin his pocket.wha fraction ofadolla...

#question.mario has 3 nickelsin his pocket.wha fraction ofadolla do 3 nickels represent

Derive a boolean first-order query, Consider a database whose universe is a...

Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Ea

Rolles therom, f(x)=sin x+cos x in the interval {0,90}

f(x)=sin x+cos x in the interval {0,90}

Find ad, A circle is inscribed in a triangle ABC having sides 8cm, 10cm and...

A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.

Find the ratio of line segment, Find the ratio in which the line segment jo...

Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2 (Ans:3:5) Ans : Let the ratio be k:1 x = 4 k + 6/ k +1 y

Matrices, Ask qudefination of empty matrixestion #Minimum 100 words accepte...

Ask qudefination of empty matrixestion #Minimum 100 words accepted#

Intergration, any example

any example

Inequality and inequation, (p:4:3p

(p:4:3p

Find the volume and surface area of the double cone formed, A right triangl...

A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Ans : 3768cu.cm,1318.8

Quadric surfaces - three dimensional spaces, Quadric Surfaces Earlier w...

Quadric Surfaces Earlier we have looked at lines and planes in three dimensions (or R 3 ) and when these are used fairly heavily at times in a Calculus class there are several

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