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Instructions and two problems for an assignment in a mathematics course (mth401) during spring 2012. Students are required to find the solutions of given homogeneous and nonhomogeneous differential equations using the methods of reduction of order and undetermined coefficients-superposition approach. The document also includes a hint for handling jump discontinuities in the function p(x).
Typology: Exercises
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MTH401 (Spring 2012)
Total marks: 30 Lecture # 12- Due date: 08-05-
Upload assignments properly through LMS only, (No Assignment will be accepted through email). All students are directed to use the font and style of text as is used in this document. In order to attempt this assignment you should have full command on Lecture # 12 to Lecture # 18. This is an individual assignment, not group assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others. Above all instructions are for all assignments so may not be mentioned in future. Solve the assignment on MS word document and upload your word (.doc) files only. Do not solve the assignment on MS excel. If we get any assignment on MS excel or any format other than word file then it will not be graded. Assignments through e-mail are not acceptable after due date (If there is any problem in submitting your assignment through LMS, you can send your solution file through email with in due date). You are advised to upload your assignment at least two days before Due date.
Question#1 Marks 10
associated homogeneous equation. Use the method of reduction of order to find a second
nonhomogeneous equation using method of undetermined coefficients-superposition approach.
1
2 2 2 4 2 ;^
d y (^) y y e x dx
Question#2 Marks 20
Solve the following initial value problem.
dy p x y y dx
Where
x p x x
Hint:
choice of the arbitrary constants.