Problems 401 to 500

Table 4.1471: Second order, Linear, Homogeneous and constant coeﬃcients


#	ODE	Mathematica	Maple	Sympy

8872	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

8873	\[ {} y^{\prime \prime }+k^{2} y = 0 \]	✓	✓	✓

8898	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

8899	\[ {} 3 y^{\prime \prime }+2 y = 0 \]	✓	✓	✓

8900	\[ {} y^{\prime \prime }+16 y = 0 \]	✓	✓	✓

8901	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

8902	\[ {} y^{\prime \prime }+2 i y^{\prime }+y = 0 \]	✓	✓	✓

8903	\[ {} y^{\prime \prime }-4 y^{\prime }+5 y = 0 \]	✓	✓	✓

8904	\[ {} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0 \]	✓	✓	✓

8905	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

8906	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

8907	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8908	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8909	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8910	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8911	\[ {} y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]	✓	✓	✓

8912	\[ {} y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y = 0 \]	✓	✓	✓

8913	\[ {} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0 \]	✓	✓	✓

8914	\[ {} y^{\prime \prime }+10 y = 0 \]	✓	✓	✓

8936	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

8937	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

8943	\[ {} y^{\prime \prime }-2 i y^{\prime }-y = 0 \]	✓	✓	✓

9048	\[ {} y^{\prime \prime }+k^{2} y = 0 \]	✓	✓	✓

9063	\[ {} y^{\prime \prime }+4 y = 0 \]	✓	✓	✓

9064	\[ {} y^{\prime \prime }-4 y = 0 \]	✓	✓	✓

9090	\[ {} y^{\prime \prime }-5 y^{\prime }+4 y = 0 \]	✓	✓	✓

9193	\[ {} y^{\prime \prime }-k^{2} y = 0 \]	✓	✓	✓

9223	\[ {} y^{\prime \prime }+y^{\prime }-6 y = 0 \]	✓	✓	✓

9224	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9225	\[ {} y^{\prime \prime }+8 y = 0 \]	✓	✓	✓

9226	\[ {} 2 y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]	✓	✓	✓

9227	\[ {} 4 y-4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9228	\[ {} 20 y-9 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9229	\[ {} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0 \]	✓	✓	✓

9230	\[ {} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]	✓	✓	✓

9231	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

9232	\[ {} y^{\prime \prime }-6 y^{\prime }+25 y = 0 \]	✓	✓	✓

9233	\[ {} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0 \]	✓	✓	✓

9234	\[ {} 3 y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9235	\[ {} y^{\prime \prime } = 4 y \]	✓	✓	✓

9236	\[ {} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0 \]	✓	✓	✓

9237	\[ {} 2 y^{\prime \prime }+y^{\prime }-y = 0 \]	✓	✓	✓

9238	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9239	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9240	\[ {} y^{\prime \prime }+4 y^{\prime }-5 y = 0 \]	✓	✓	✓

9241	\[ {} 6 y-5 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9242	\[ {} y^{\prime \prime }-6 y^{\prime }+5 y = 0 \]	✓	✓	✓

9243	\[ {} y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]	✓	✓	✓

9244	\[ {} 5 y+4 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

9245	\[ {} y^{\prime \prime }+4 y^{\prime }+2 y = 0 \]	✓	✓	✓

9246	\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]	✓	✓	✓

9291	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

9292	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

9325	\[ {} y^{\prime \prime }-3 y^{\prime }+y = 0 \]	✓	✓	✓

9326	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

9327	\[ {} y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]	✓	✓	✓

9328	\[ {} y^{\prime \prime }-y^{\prime }+6 y = 0 \]	✓	✓	✓

9333	\[ {} y^{\prime \prime }+9 y = 0 \]	✓	✓	✓

9356	\[ {} y^{\prime \prime } = -3 y \]	✓	✓	✓

9463	\[ {} y^{\prime \prime }-5 y^{\prime }+4 y = 0 \]	✓	✓	✓

9505	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

9507	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

9509	\[ {} y^{\prime \prime }-y^{\prime } = 0 \]	✓	✓	✓

9511	\[ {} y^{\prime \prime }+2 y^{\prime } = 0 \]	✓	✓	✓

9593	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

9614	\[ {} y^{\prime \prime }+5 y^{\prime }+4 y = 0 \]	✓	✓	✓

9621	\[ {} y^{\prime \prime }-2 y^{\prime }+5 y = 0 \]	✓	✓	✓

9624	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

9628	\[ {} y^{\prime \prime }-6 y^{\prime }+13 y = 0 \]	✓	✓	✓

9629	\[ {} 2 y^{\prime \prime }+20 y^{\prime }+51 y = 0 \]	✓	✓	✓

9632	\[ {} y^{\prime \prime }+2 y^{\prime }+y = 0 \]	✓	✓	✓

9633	\[ {} y^{\prime \prime }+8 y^{\prime }+20 y = 0 \]	✓	✓	✓

9663	\[ {} y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]	✓	✓	✓

9786	\[ {} y^{\prime \prime }+\beta ^{2} y = 0 \]	✓	✓	✓

10038	\[ {} y+2 y^{\prime }+y^{\prime \prime } = 0 \]	✓	✓	✓

10039	\[ {} 5 y^{\prime \prime }+2 y^{\prime }+4 y = 0 \]	✓	✓	✓

10052	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

10059	\[ {} y y^{\prime \prime } = 0 \]	✓	✓	✓

10063	\[ {} y^{2} y^{\prime \prime } = 0 \]	✓	✓	✓

10068	\[ {} a y y^{\prime \prime }+b y = 0 \]	✓	✓	✓

10086	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

10087	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

10088	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

10145	\[ {} y^{\prime \prime }+c y^{\prime }+k y = 0 \]	✓	✓	✓

10372	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

10373	\[ {} {y^{\prime \prime }}^{2} = 0 \]	✓	✓	✓

10374	\[ {} {y^{\prime \prime }}^{n} = 0 \]	✓	✓	✗

10375	\[ {} a y^{\prime \prime } = 0 \]	✓	✓	✓

10376	\[ {} a {y^{\prime \prime }}^{2} = 0 \]	✓	✓	✓

10377	\[ {} a {y^{\prime \prime }}^{n} = 0 \]	✓	✓	✗

10382	\[ {} {y^{\prime \prime }}^{3} = 0 \]	✓	✓	✓

10383	\[ {} y^{\prime \prime }+y^{\prime } = 0 \]	✓	✓	✓

10392	\[ {} y^{\prime \prime }+y^{\prime }+y = 0 \]	✓	✓	✓

10864	\[ {} y^{\prime \prime }-y^{\prime }+y = 0 \]	✓	✓	✓

10977	\[ {} y^{\prime \prime }+3 y^{\prime }+4 y = 0 \]	✓	✓	✓

11259	\[ {} u^{\prime \prime }+2 u^{\prime }+u = 0 \]	✓	✓	✓

11291	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

12296	\[ {} y^{\prime \prime } = 0 \]	✓	✓	✓

12297	\[ {} y^{\prime \prime }+y = 0 \]	✓	✓	✓

12301	\[ {} -y+y^{\prime \prime } = 0 \]	✓	✓	✓

4.25.5 Problems 401 to 500