4.21.7 Problems 601 to 700

Table 4.1323: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

21309

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

21310

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

21311

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

21312

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

21318

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

21347

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

21400

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

21422

\[ {} x^{\prime \prime \prime }+a x^{\prime \prime }+b x^{\prime }+c x = 0 \]

21424

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

21425

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

21426

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

21427

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

21428

\[ {} x^{\prime \prime \prime \prime }+8 x^{\prime \prime \prime }+23 x^{\prime \prime }+2 x^{\prime }+12 x = 0 \]

21592

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

21616

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

21617

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

21618

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

21619

\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }-3 y^{\prime }+18 y = 0 \]

21620

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

21621

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

21622

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

21623

\[ {} y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+18 y^{\prime \prime }-20 y^{\prime }+8 y = 0 \]

21624

\[ {} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y = 0 \]

21686

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

21689

\[ {} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+54 y^{\prime \prime }+108 y^{\prime }+81 y = 0 \]

21994

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

21995

\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }+3 y^{\prime }-6 y = 0 \]

21996

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

21997

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+42 y^{\prime \prime }-104 y^{\prime }+169 y = 0 \]

22033

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

22034

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

22035

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

22053

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

22227

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

22228

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

22230

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+2 y^{\prime }+36 y = 0 \]

22231

\[ {} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-4 y^{\prime }+6 y = 0 \]

22232

\[ {} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y = 0 \]

22233

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

22234

\[ {} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+32 y^{\prime \prime }-64 y^{\prime }+64 y = 0 \]

22235

\[ {} y^{\left (6\right )}-5 y^{\prime \prime \prime \prime }+16 y^{\prime \prime \prime }-16 y^{\prime }-32 y = 0 \]

22236

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

22237

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

22238

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

22239

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

22240

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

22241

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

22242

\[ {} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+16 y^{\prime }+32 y = 0 \]

22243

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

22244

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

22277

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

22370

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

22417

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

22430

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

22445

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

22612

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

22747

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

22749

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

22752

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

22753

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

22756

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

22757

\[ {} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }-16 y^{\prime \prime }+12 y^{\prime }+12 y = 0 \]

22761

\[ {} y^{\left (6\right )}-4 y^{\prime \prime \prime \prime } = 0 \]

22762

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

22763

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

22765

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

22774

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

22775

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

22779

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

22780

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

22781

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

22782

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

22783

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

22785

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

22786

\[ {} y^{\left (6\right )}-4 y^{\prime \prime }+4 y^{\prime } = 0 \]

22787

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

22788

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

22789

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

22790

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

22791

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

22795

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

22796

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

23223

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

23230

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

23343

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

23375

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

23379

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

23381

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

23391

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

23419

\[ {} 4 y^{\prime \prime \prime }-2 y^{\prime \prime }+6 y^{\prime }-7 y = 0 \]

23420

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

23421

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

23423

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

23424

\[ {} 6 y^{\prime \prime \prime }-4 i y^{\prime \prime }+\left (3+i\right ) y^{\prime }-2 y = 0 \]

23425

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

23426

\[ {} 6 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }-6 y = 0 \]

23427

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

23428

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

23448

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

23456

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