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Putnam
1941 Putnam
B3
B3
Part of
1941 Putnam
Problems
(1)
Putnam 1941 B3
Source: Putnam 1941
2/23/2022
Let
y
1
y_1
y
1
and
y
2
y_2
y
2
be two linearly independent solutions of the equation
y
′
′
+
P
(
x
)
y
′
+
Q
(
x
)
=
0.
y''+P(x)y'+Q(x)=0.
y
′′
+
P
(
x
)
y
′
+
Q
(
x
)
=
0.
Find the differential equation satisfied by the product
z
=
y
1
y
2
z=y_1 y_2
z
=
y
1
y
2
.
Putnam
differential equation