Engineering Mathematics (I)
Homework#5
Due: Tue., Nov. 24, 2015
1. Please solve the given differential equation.
(a) x 3 y xy y 0
(b) x 2 y xy y 0; y 1 0, y1 1
(c) x 3 y x 2 y 2 xy 2 y x 3 cos x; y 1
Engineering Mathematics (I)
HW#4
Thu., Nov. 19, 2015
1. Consider the ODE
1 x y 3x(1 x
2 2
2
) y 2 y 0
(a) How many linearly independent homogeneous solutions the ODE can have?
State the reason.
(b) Ca
Engineering Mathematics (I)
Homework#6
Due: Tue., Dec. 1, 2015
1. For each of the following ODE, if an analytic solution can be obtained,
please find it. If not, please obtain an approximate series so