4.21.3 Problems 201 to 300

Table 4.985: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

5930

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

5932

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

5933

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

5934

\[ {} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-11 y^{\prime \prime }-12 y^{\prime }+36 y = 0 \]

5935

\[ {} 36 y^{\prime \prime \prime \prime }-37 y^{\prime \prime }+4 y^{\prime }+5 y = 0 \]

5936

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+36 y = 0 \]

5939

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

5941

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

5942

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

5943

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

5944

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

5949

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

6147

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

6148

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

6149

\[ {} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y = 0 \]

6150

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

6210

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

6229

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y = 0 \]

6389

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

6391

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

6392

\[ {} x^{\prime \prime \prime }-3 x^{\prime \prime }-9 x^{\prime }-5 x = 0 \]

6555

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

6692

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

6702

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

6704

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

6707

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

6708

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

6709

\[ {} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]

6710

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

6931

\[ {} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0 \]

7554

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

7640

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

7641

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

7642

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

7643

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

7644

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

7645

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

7646

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

7647

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

7648

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

7649

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

7652

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

7653

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

7654

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

7655

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

7656

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

7658

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

7806

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

8016

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

8017

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

8018

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

8019

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

8020

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

8021

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

8022

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

8023

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

8024

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

8025

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

8026

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

8027

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

8028

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

8029

\[ {} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0 \]

8030

\[ {} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0 \]

8031

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

11424

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

11427

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

11434

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

11437

\[ {} y^{\prime \prime \prime }+\operatorname {a2} y^{\prime \prime }+\operatorname {a1} y^{\prime }+\operatorname {a0} y = 0 \]

11498

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

11500

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

11503

\[ {} y^{\prime \prime \prime \prime }+\left (1+\lambda \right ) a^{2} y^{\prime \prime }+\lambda \,a^{4} y = 0 \]

11536

\[ {} f \left (y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y\right )+2 \operatorname {df} \left (y^{\prime \prime \prime }-a^{2} y^{\prime }\right ) = 0 \]

11537

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

11545

\[ {} x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y = 0 \]

11771

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

12842

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

12843

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

12844

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

12845

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

12846

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

12847

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

12848

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

12849

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

13098

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

13100

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

13101

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

13103

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

13104

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

13176

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

13177

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

13318

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

13332

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

13333

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

13340

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

13341

\[ {} 4 y^{\prime \prime \prime }+4 y^{\prime \prime }-7 y^{\prime }+2 y = 0 \]

13342

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

13343

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

13344

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

13345

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

13346

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