dy/dx - = 1 - y,y(0) = 0 is an example of

[Ozair]

Assignment NO. 1 MTH603 (Spring 2021)

Maximum Marks: 20 Due Date: Sunday, May 9, 2021
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 01 - 8 lectures.
• Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 01 to 8 lectures.
• Upload assignments properly through LMS, No Assignment will be accepted through email.
• Write your ID on the top of your solution file.
• Don’t use colourful back grounds in your solution files.
• Use Math Type or Equation Editor Etc. for mathematical symbols.
• You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.
• Try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero mark.
• Also remember that you are supposed to submit your assignment in Word format any other like scan images etc. will not be accepted and we will give zero mark corresponding to these assignments.

Question 1: [10 Marks]

Find a root of the given equation using Newton-Raphson Method. Keep values correct to four decimal places.

Question 2: [10 Marks]

Find a root of the given equation using three iterations by Bisection method

[waqas Ahmed]

https://youtu.be/HiHIXRSex6o

[waqas Ahmed]

@ozair

[Asad Saab]

Assignment No.1 (MTH-603) Due Date November 22, 2023 Marks: 20
Important instructions before attempting the solution of this assignment:

1. The course is segmented into four sections, each of which is supervised by a different faculty member.
2. A distinct assignment file has been given to each section, resulting in a total of four separate assignment files. The relevant assignment file can be downloaded from the announcement section of the course. It is important to note that students can only view the announcements relevant to their respective sections.
3. You will prepare the solution of the assignment on Word file and upload at the assignment interface on LMS as per usual practice.
4. If you upload the assignment file of any other sections, it be awarded with zero mark.
   You can download the assignment file of your section from the announcement.

[cyberian]

@asad-saab
[center]https://youtu.be/g1NaLcv0VeA[/center]
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[cyberian]

@asad-saab
Fall 2023
MTH603
Assignment # 1
Section In charge: Husna Muzaffar Total Marks 20
Instructions

1. To solve this assignment you need to have a good grip on lectures 1-15.
2. The course is segmented into four sections, each of which is supervised by a different faculty member. Information regarding the section in charge can be
   found in the course information section on the LMS.
3. A distinct assignment file has been given to each section, resulting in a total
   of four separate assignment files. The relevant assignment file can be downloaded from the announcement section of the course. It is important to note that students can only view the announcements relevant to their respective sections.
4. You will prepare the solution of assignment on Word file and upload at the assignment interface on LMS as per usual practice.
5. Plagiarism in the submitted assignment will lead to a zero grade. Additionally, any student who submits a solution file that is not applicable to their section will also get a zero grade.
   𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧# 𝟏: Marks 10 Solve the system of equations by using Crout’s method.
   2𝑥 + 5𝑦 + 3𝑧 = 16

𝐐𝐮𝐞𝐬𝐭𝐢𝐨𝐧# 𝟐:
Marks 10
3𝑥 + 𝑦 + 2𝑧 = 11 −3𝑥 + 7𝑦 + 8𝑧 = 10
Solve the following system of equations by using Jacobi′s iterative method for the first three iterations by taking initial starting of solution vector as (0,0,0). 8𝑥 − 2𝑦 − 2𝑧 = 3
−2𝑥 + 6𝑦 + 𝑧 = 9
−2𝑥+𝑦+7𝑧= 6
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