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5
Examples using Frobenius series on first order ode
5.1
Example 1.
x
y
′
+
y
=
0
5.2
Example 2.
x
y
′
+
y
=
x
5.3
Example 3.
x
y
′
+
y
=
1
5.4
Example 4.
x
y
′
+
y
=
k
5.5
Example 5.
x
y
′
+
y
=
sin
x
5.6
Example 6.
x
y
′
+
y
=
x
+
x
3
+
2
x
4
5.7
Example 7.
x
y
′
+
y
=
1
x
5.8
Example 9.
x
y
′
+
y
=
1
x
2
5.9
Example 10.
x
y
′
+
y
=
3
+
x
5.10
Example 11.
x
y
′
+
y
=
1
x
3
5.11
Example 11.
y
′
+
x
y
=
x
2
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