First order ODE’s solved using series method. Regular singular point

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2.21.1.31 First order ODE’s solved using series method. Regular singular point

Number of problems in this table is 8

Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.

Table 2.576: ﬁrst order ode series method. Regular singular point


#	ODE	A	B	C	CAS classiﬁcation	Solved?	Veriﬁed?	time (sec)

406	\[ {}x y^{\prime }+y = 0 \]	1	1	1	[_separable]	✓	✓	0.391

407	\[ {}2 x y^{\prime } = y \]	1	1	1	[_separable]	✓	✓	0.404

4892	\[ {}x y^{\prime } = x y+y \]	1	1	1	[_separable]	✓	✓	0.33

4896	\[ {}x y^{\prime } = y \]	1	1	1	[_separable]	✓	✓	0.296

5625	\[ {}x y^{\prime }-3 y = k \]	1	1	1	[_separable]	✓	✓	0.755

6416	\[ {}x y^{\prime } = y \]	1	1	1	[_separable]	✓	✓	0.7

6420	\[ {}y^{\prime }-\frac {y}{x} = x^{2} \]	1	1	1	[_linear]	✓	✓	0.982

7302	\[ {}x y^{\prime }+y = 0 \]	1	1	1	[_separable]	✓	✓	0.504

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