AMATH350 Lecture Notes - Lecture 4: Océ, Partial Fraction Decomposition
3 May 2016
School
Department
Course
Professor
Document Summary
The assignment is due wednesday, march 16th, at the beginning of the lecture: late submissions will not be accepted, find the solutions of the following systems, using the variation of parameters method to nd the particular solutions. You may rst write them in a matrix form. (a) x . 2 = x1 + 3x2 et x y . 1: use the transformation: = y, = (x, y) to nd the general solution of the pde yux 2xyuy = 2, x > 0. [hint: you should follow the tree digram to evaluate ux and uy as we did in the class. By the way, the function (x, y) can be taken from q5 (a) (iii) because you are solving the same the pde. You should get the same answer, as well. ] dx: to evaluate the integral z v2 = a x and 2vdv = dx. You also have x = a v2, : z x a x.
