# 32 TT Q6 (20 points): a) Classify the following DE: x?y”+ay/4+3y/16- |-7 x=0. b) Show that: yi(1) =.

32 TT Q6 (20 points): a) Classify the following DE: x?y”+ay/4+3y/16- |-7 x=0. b) Show that: yi(1) = VTx cos(Vx)and yz(x)=1Vx sin (Vx) are linearly-independent functions. c) By solving the DE as Euler-Cauchy equation; show that y(x) and y, (x) are fundamental solutions of homogeneous form of the given DE; d) Find the particular solution of the given non-homogeneous DE in terms of the cosine and sine Fresnel functions (C(x), S(x)), which are defined, respectively, as follows: C(x)= [cos (12) , S(x)= { sin ( 12.) a 0 e) Use the transformation: y=uVx and z=Vx to convert the non-homogenous form

32 TT Q6 (20 points): a) Classify the following DE: x?y”+ay/4+3y/16- |-7 x=0. b) Show that: yi(1) = VTx cos(Vx)and yz(x)=1Vx sin (Vx) are linearly-independent functions. c) By solving the DE as Euler-Cauchy equation; show that y(x) and y, (x) are fundamental solutions of homogeneous form of the given DE; d) Find the particular solution of the given non-homogeneous DE in terms of the cosine and sine Fresnel functions (C(x), S(x)), which are defined, respectively, as follows: C(x)= [cos (12) , S(x)= { sin ( 12.) a 0 e) Use the transformation: y=uVx and z=Vx to convert the non-homogenous form of the given DE into a Bessel’s DE. f) Solve the resultant DE in terms of Bessel’s functions. g) Find relations between the solutions of Part (c) and Part (f), show details. h) If the error function is defined by: erf(3) = du show that the error function is related to Fresnel functions by the following relation: erfidia 12 (C(x)=is(x)) where i=V=1

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.