Problems 1201 to 1300

Table 4.1487: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

23434	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

23435	\[ {} 2 y^{\prime \prime }-4 y^{\prime }-y = 0 \]	✓	✓	✓

23436	\[ {} 4 y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

23437	\[ {} y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

23438	\[ {} 2 y^{\prime \prime }+y = 0 \]	✓	✓	✓

23439	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

23440	\[ {} 2 y^{\prime \prime }+14 y^{\prime }+25 y = 0 \]	✓	✓	✓

23441	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

23442	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

23443	\[ {} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0 \]	✓	✓	✓

23444	\[ {} 2 y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

23445	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

23446	\[ {} 2 y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

23447	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

23449	\[ {} 2 y^{\prime \prime }+3 y^{\prime }+y = 0 \]	✓	✓	✓

23450	\[ {} 8 y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

23451	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

23452	\[ {} 9 y^{\prime \prime }-6 y^{\prime }+y = 0 \]	✓	✓	✓

23453	\[ {} y^{\prime \prime }+6 y = 0 \]	✓	✓	✓

23454	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

23459	\[ {} y^{\prime \prime }-2 y^{\prime }+y = 0 \]	✓	✓	✓

23460	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

23461	\[ {} y^{\prime \prime }-i y^{\prime }+12 y = 0 \]	✓	✓	✓

23462	\[ {} y^{\prime \prime }+3 y = 0 \]	✓	✓	✓

23463	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

23467	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

23469	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

23470	\[ {} y^{\prime \prime }+y = 0 \]	✗	✗	✗

23471	\[ {} y^{\prime \prime }+6 y^{\prime }+12 y = 0 \]	✓	✓	✓

23472	\[ {} y^{\prime \prime }+20 y^{\prime }+64 y = 0 \]	✓	✓	✓

23473	\[ {} y^{\prime \prime }+9 y^{\prime }+4 y = 0 \]	✓	✓	✓

23474	\[ {} 5 y^{\prime \prime }+10 y^{\prime }+20 y = 0 \]	✓	✓	✓

23475	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

23476	\[ {} 6 y^{\prime \prime }+4 y^{\prime }+y = 0 \]	✓	✓	✓

23477	\[ {} y^{\prime \prime }+5 y^{\prime }+y = 0 \]	✓	✓	✓

23478	\[ {} y^{\prime \prime }+8 y^{\prime }+16 y = 0 \]	✓	✓	✓

23479	\[ {} 4 y^{\prime \prime }+8 y^{\prime }+4 y = 0 \]	✓	✓	✓

23480	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

23482	\[ {} y^{\prime \prime }-2 r y^{\prime }+\left (r^{2}-\frac {\alpha ^{2}}{4}\right ) y = 0 \]	✓	✓	✓

23483	\[ {} y^{\prime \prime }-2 \left (r +\beta \right ) y^{\prime }+r^{2} y = 0 \]	✓	✓	✓

23748	\[ {} y^{\prime \prime }+3 y^{\prime }-4 y = 0 \]	✓	✓	✓

23751	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

23869	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

23870	\[ {} y^{\prime \prime }+9 y = 0 \]	✗	✗	✗

23871	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

23872	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

23873	\[ {} y^{\prime \prime }+9 y = 0 \]	✗	✗	✗

23875	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

23876	\[ {} y^{\prime \prime }-3 y^{\prime }+2 y = 0 \]	✓	✓	✓

23878	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

24046	\[ {} y^{\prime \prime }-k^{2} y = 0 \]	✓	✓	✓

24047	\[ {} y^{\prime \prime }+k^{2} y = 0 \]	✓	✓	✓

24089	\[ {} y^{\prime \prime }-5 y^{\prime }-y = 0 \]	✓	✓	✓

24090	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

24091	\[ {} y^{\prime \prime }-2 y^{\prime }-4 y = 0 \]	✓	✓	✓

24092	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

24093	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

24094	\[ {} y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

24095	\[ {} y^{\prime \prime }+k y^{\prime }+L y = 0 \]	✓	✓	✓

24096	\[ {} y^{\prime \prime }+\frac {327 y^{\prime }}{100}-\frac {21 y}{50} = 0 \]	✓	✓	✓

24526	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

24527	\[ {} y^{\prime \prime }+3 y^{\prime } = 0 \]	✓	✓	✓

24528	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

24529	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

24546	\[ {} y^{\prime \prime }-4 a y^{\prime }+3 a^{2} y = 0 \]	✓	✓	✓

24547	\[ {} y^{\prime \prime }-\left (a +b \right ) y^{\prime }+b y a = 0 \]	✓	✓	✓

24548	\[ {} y^{\prime \prime }-2 y^{\prime }+3 y = 0 \]	✓	✓	✓

24549	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

24550	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

24552	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

24553	\[ {} y^{\prime \prime }+3 y^{\prime }-10 y = 0 \]	✓	✓	✓

24555	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

24556	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

24575	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

24576	\[ {} y^{\prime \prime }+4 y^{\prime }+4 y = 0 \]	✓	✓	✓

24581	\[ {} 4 y^{\prime \prime }-4 y^{\prime }+y = 0 \]	✓	✓	✓

24584	\[ {} y^{\prime \prime }+a^{2} y-2 a y^{\prime }+y b^{2} = 0 \]	✓	✓	✓

24585	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

24586	\[ {} y^{\prime \prime }-2 y^{\prime }+2 y = 0 \]	✓	✓	✓

24587	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

24588	\[ {} y^{\prime \prime }-9 y = 0 \]	✓	✓	✓

24589	\[ {} y^{\prime \prime }+6 y^{\prime }+13 y = 0 \]	✓	✓	✓

24590	\[ {} y^{\prime \prime }-4 y^{\prime }+7 y = 0 \]	✓	✓	✓

24592	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

24593	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

24602	\[ {} x^{\prime \prime }+k^{2} x = 0 \]	✓	✓	✓

24604	\[ {} x^{\prime \prime }+2 b x^{\prime }+k^{2} x = 0 \]	✓	✓	✓

24617	\[ {} y^{\prime \prime }-y^{\prime }-6 y = 0 \]	✓	✓	✓

24628	\[ {} y^{\prime \prime }+2 y^{\prime }+5 y = 0 \]	✓	✓	✓

24996	\[ {} y^{\prime \prime }+\beta ^{2} y = 0 \]	✓	✓	✓

25027	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

25181	\[ {} y^{\prime \prime }+3 y^{\prime }+2 y = 0 \]	✓	✓	✓

25182	\[ {} y^{\prime \prime }+5 y^{\prime }+6 y = 0 \]	✓	✓	✓

25183	\[ {} y^{\prime \prime }+25 y = 0 \]	✓	✓	✓

25184	\[ {} y^{\prime \prime }+a^{2} y = 0 \]	✓	✓	✓

25185	\[ {} y^{\prime \prime }+8 y^{\prime }+16 y = 0 \]	✓	✓	✓

25209	\[ {} y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]	✓	✓	✓

25212	\[ {} 2 y^{\prime \prime }-12 y^{\prime }+18 y = 0 \]	✓	✓	✓

25213	\[ {} y^{\prime \prime }-y^{\prime }-2 y = 0 \]	✓	✓	✓

25214	\[ {} y^{\prime \prime }+y^{\prime }-12 y = 0 \]	✓	✓	✓

4.25.13 Problems 1201 to 1300