4.21.2 Problems 101 to 200

Table 4.983: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

2133

\[ {} 3 y^{\prime \prime \prime }-y^{\prime \prime }-7 y^{\prime }+5 y = 0 \]

2134

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \]

2135

\[ {} 2 y^{\prime \prime \prime }-11 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \]

2136

\[ {} 8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y = 0 \]

2137

\[ {} y^{\prime \prime \prime \prime }-16 y = 0 \]

2138

\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y = 0 \]

2139

\[ {} 4 y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+9 y = 0 \]

2140

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-8 y^{\prime }-8 y = 0 \]

2141

\[ {} 4 y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+19 y^{\prime \prime }+32 y^{\prime }+12 y = 0 \]

2142

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

2143

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

2144

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

2145

\[ {} y^{\left (6\right )}-y = 0 \]

2146

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

2147

\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = 0 \]

2710

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

2711

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0 \]

2712

\[ {} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \]

2713

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

2714

\[ {} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+14 y^{\prime \prime }-20 y^{\prime }+25 y = 0 \]

2715

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

2716

\[ {} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0 \]

2717

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

3068

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

3069

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \]

3070

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

3071

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

3072

\[ {} y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0 \]

3073

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \]

3074

\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y = 0 \]

3075

\[ {} y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y = 0 \]

3076

\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \]

3077

\[ {} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y = 0 \]

3078

\[ {} 12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0 \]

3079

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

3080

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

3081

\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y = 0 \]

3082

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y = 0 \]

3083

\[ {} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0 \]

3084

\[ {} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y = 0 \]

3085

\[ {} y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-15 y^{\prime \prime \prime }-19 y^{\prime \prime }+30 y^{\prime } = 0 \]

3086

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

3087

\[ {} y^{\left (5\right )}+3 y^{\prime \prime \prime }+2 y^{\prime } = 0 \]

3090

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

3091

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

3092

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

3093

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

3094

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

3095

\[ {} 4 y^{\left (5\right )}-3 y^{\prime \prime \prime }-y^{\prime \prime } = 0 \]

3096

\[ {} y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y = 0 \]

3097

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

3098

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

3099

\[ {} y^{\prime \prime \prime }-8 y = 0 \]

3101

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

3102

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

3103

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-8 y^{\prime }+8 y = 0 \]

3104

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

3105

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

3106

\[ {} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y = 0 \]

3107

\[ {} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y = 0 \]

3108

\[ {} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime \prime }-12 y^{\prime }+16 y = 0 \]

3109

\[ {} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y = 0 \]

3110

\[ {} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }-6 y^{\prime \prime }+8 y^{\prime }-8 y = 0 \]

3700

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

3701

\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y = 0 \]

3702

\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-18 y^{\prime }-40 y = 0 \]

3703

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

3704

\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y = 0 \]

3705

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

3706

\[ {} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y = 0 \]

3795

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

3796

\[ {} y^{\prime \prime \prime }+11 y^{\prime \prime }+36 y^{\prime }+26 y = 0 \]

4142

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

4143

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

4144

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

4145

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

4146

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

4147

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

4148

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

4149

\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0 \]

4150

\[ {} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0 \]

4151

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

4444

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

4445

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

4446

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

4447

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

4448

\[ {} y^{\prime \prime \prime }-8 y = 0 \]

4449

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

4450

\[ {} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \]

4451

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime }+16 y = 0 \]

4452

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

4453

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

4454

\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime } = 0 \]

4455

\[ {} y^{\left (6\right )}-64 y = 0 \]

5921

\[ {} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }-6 y = 0 \]

5922

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

5923

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

5924

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

5927

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

5929

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