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 0, y1 0, y1 0
2. Please solve the given differential eq
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) Can we use the following characteristic equation to find
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 solution with
the first six nonzero terms of Taylor serie