Problems 1001 to 1100

Table 4.1483: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

21237	\[ {} x^{\prime \prime }-2 x^{\prime }+2 x = 0 \]	✓	✓	✓

21238	\[ {} x^{\prime \prime }-2 a x^{\prime }+b x = 0 \]	✓	✓	✓

21239	\[ {} x^{\prime \prime }+\lambda ^{2} x = 0 \]	✓	✓	✓

21240	\[ {} x^{\prime \prime }+x = 0 \]	✓	✓	✓

21241	\[ {} x^{\prime \prime }-x = 0 \]	✓	✓	✓

21242	\[ {} x^{\prime \prime }+x^{\prime }-2 x = 0 \]	✓	✓	✓

21243	\[ {} x^{\prime \prime }-2 x^{\prime }+5 x = 0 \]	✓	✓	✓

21244	\[ {} x^{\prime \prime }-2 x^{\prime }+5 x = 0 \]	✓	✓	✓

21245	\[ {} x^{\prime \prime }+2 x^{\prime } = 0 \]	✗	✓	✓

21277	\[ {} x^{\prime \prime }+x^{\prime }+x = 0 \]	✓	✓	✓

21398	\[ {} x^{\prime \prime }-2 x^{\prime }+x = 0 \]	✓	✓	✓

21414	\[ {} x^{\prime \prime }+2 x^{\prime }-x = 0 \]	✓	✓	✓

21415	\[ {} x^{\prime \prime }+2 x^{\prime }+x = 0 \]	✓	✓	✓

21416	\[ {} x^{\prime \prime }+2 h x^{\prime }+k^{2} x = 0 \]	✓	✓	✓

21591	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

21593	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

21596	\[ {} x^{\prime \prime }-4 x = 0 \]	✓	✓	✓

21597	\[ {} y^{\prime \prime }-5 y = 0 \]	✓	✓	✓

21598	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

21599	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

21600	\[ {} x^{\prime \prime } = 0 \]	✓	✓	✓

21601	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

21602	\[ {} y^{\prime \prime }+2 y^{\prime }+4 y = 0 \]	✓	✓	✓

21603	\[ {} y^{\prime \prime }-2 y^{\prime }-y = 0 \]	✓	✓	✓

21604	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

21605	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

21606	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

21607	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

21608	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

21609	\[ {} y^{\prime \prime }-2 y^{\prime }-2 y = 0 \]	✓	✓	✓

21610	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

21611	\[ {} y^{\prime \prime }-2 y^{\prime }+10 y = 0 \]	✓	✓	✓

21612	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

21613	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

21614	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

21615	\[ {} y^{\prime \prime }-\frac {6 y^{\prime }}{5}+\frac {9 y}{25} = 0 \]	✓	✓	✓

21679	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

21682	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

21684	\[ {} y^{\prime \prime }+k^{2} y = 0 \]	✓	✓	✓

21685	\[ {} y^{\prime \prime }-2 s y^{\prime }-2 y = 0 \]	✓	✓	✓

21687	\[ {} 2 y^{\prime \prime }+5 y^{\prime }-12 y = 0 \]	✓	✓	✓

21735	\[ {} m y^{\prime \prime }+a y^{\prime }+k y = 0 \]	✓	✓	✓

21736	\[ {} y^{\prime \prime }+\omega ^{2} y = 0 \]	✓	✓	✓

21740	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

21828	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

21829	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

21842	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

21843	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

21844	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

21845	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✗	✗

21846	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

21908	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

21990	\[ {} y^{\prime \prime }-12 y^{\prime }+35 y = 0 \]	✓	✓	✓

21991	\[ {} y^{\prime \prime }-2 y^{\prime } = 0 \]	✓	✓	✓

21992	\[ {} 9 y^{\prime \prime }-30 y^{\prime }+25 y = 0 \]	✓	✓	✓

21993	\[ {} 3 y^{\prime \prime }-4 y^{\prime }+2 y = 0 \]	✓	✓	✓

22025	\[ {} y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

22026	\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

22027	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

22028	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

22029	\[ {} y^{\prime \prime }+n^{2} y = 0 \]	✓	✓	✓

22038	\[ {} y^{\prime \prime }+3 y = 0 \]	✓	✓	✓

22047	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

22048	\[ {} k^{2} y^{\prime \prime }+2 k y^{\prime }+\left (k^{2}+1\right ) y = 0 \]	✓	✓	✓

22051	\[ {} x^{\prime \prime }+2 x^{\prime }+2 x = 0 \]	✓	✓	✓

22054	\[ {} y^{\prime \prime }+4 y^{\prime }+13 y = 0 \]	✓	✓	✓

22062	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

22078	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

22083	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

22084	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

22085	\[ {} y^{\prime \prime }+4 y = 0 \]	✗	✗	✗

22086	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

22195	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

22209	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

22210	\[ {} y^{\prime \prime }-7 y^{\prime } = 0 \]	✓	✓	✓

22211	\[ {} y^{\prime \prime }-5 y = 0 \]	✓	✓	✓

22212	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

22213	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

22214	\[ {} y^{\prime \prime }-3 y^{\prime }+4 y = 0 \]	✓	✓	✓

22215	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

22216	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

22217	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

22218	\[ {} y^{\prime \prime }-y^{\prime }-30 y = 0 \]	✓	✓	✓

22219	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

22220	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

22221	\[ {} y^{\prime \prime }+2 y^{\prime }+2 y = 0 \]	✓	✓	✓

22222	\[ {} y^{\prime \prime }-7 y = 0 \]	✓	✓	✓

22223	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

22224	\[ {} 3 y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

22225	\[ {} y^{\prime \prime }-3 y^{\prime }-5 y = 0 \]	✓	✓	✓

22226	\[ {} y^{\prime \prime }+y^{\prime }+\frac {y}{4} = 0 \]	✓	✓	✓

22280	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

22284	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

22347	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

22348	\[ {} y^{\prime \prime }-3 y^{\prime }+4 y = 0 \]	✓	✓	✓

22360	\[ {} y^{\prime \prime }-y = 0 \]	✓	✓	✓

22368	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

22396	\[ {} y^{\prime \prime }+2 y^{\prime }-3 y = 0 \]	✓	✓	✓

22398	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

22400	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

4.25.11 Problems 1001 to 1100