공수C
HW2
Due: 04.09 12:00 수업전 제출
1, Find the general solution of the following ODEs.
(a) ″ ′
(b) ′
(c) ″ ′
2. Find the particular solution
for the following ODEs.
(a) ″ ′
(b) ″ ′
′′ ′ . Describe the possible pattern of the particular
3. Let
solution for ’s given below. Do not solve
.
①
②
③
④
sin
⑤
.
1
4. Suppose satisfies
the ODE;
″ ′
for arbitrary
constants and .
5. The function is a solution
Find .
of
″ ′ .
(a) Find the other solution that is linearly independent of .
(b) Find a particular solution of
″ ′
6. Consider
an ODE
.
″ ′
(a) Find the the general solution:
(b) Find the particular solution for the ODE
″ ′
∞
7. Use the power series
to solve the ODE
″
.
(a) Find a recursion formula for coefficients .
(b) Express two independent basis solutions and in
polynomials of degree up to .
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