3.21.4 Problems 301 to 389

Table 3.793: Higher order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

13619

\[ {}y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y = 0 \]

13620

\[ {}y^{\prime \prime \prime \prime }-81 y = 0 \]

13621

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

13622

\[ {}y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = 0 \]

13623

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

13624

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

13625

\[ {}y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y = 0 \]

13626

\[ {}y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y = 0 \]

13627

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

13628

\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y = 0 \]

13629

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

13630

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

13631

\[ {}y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y = 0 \]

13632

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

13633

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

13634

\[ {}y^{\prime \prime \prime }+216 y = 0 \]

13635

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

13636

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

13637

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

13638

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

13639

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

13640

\[ {}4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y = 0 \]

13641

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

13642

\[ {}y^{\left (6\right )}+16 y^{\prime \prime \prime }+64 y = 0 \]

13806

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

13811

\[ {}y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0 \]

13824

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

14062

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

14063

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

14088

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

14089

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

14103

\[ {}y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0 \]

14637

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

14638

\[ {}y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime } = 0 \]

14639

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

14640

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

14641

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

14642

\[ {}3 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+2 y = 0 \]

14643

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

14644

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

14645

\[ {}5 y^{\prime \prime \prime }-15 y^{\prime }+11 y = 0 \]

14646

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

14647

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

14648

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

14649

\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y = 0 \]

14650

\[ {}y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+6 y^{\prime \prime }-32 y^{\prime }-32 y = 0 \]

14651

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

14652

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

14653

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

14654

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

14655

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

14656

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

14657

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

14658

\[ {}y^{\left (6\right )}+12 y^{\prime \prime \prime \prime }+48 y^{\prime \prime }+64 y = 0 \]

14659

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

14660

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

14661

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

14662

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

14663

\[ {}24 y^{\prime \prime \prime }-26 y^{\prime \prime }+9 y^{\prime }-y = 0 \]

14664

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

14665

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

14666

\[ {}8 y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+66 y^{\prime \prime \prime }-41 y^{\prime \prime }-37 y^{\prime } = 0 \]

14667

\[ {}2 y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+17 y^{\prime \prime \prime }+17 y^{\prime \prime }+5 y^{\prime } = 0 \]

14668

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

14669

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

14670

\[ {}y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y = 0 \]

14671

\[ {}y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+60 y^{\prime \prime }+124 y^{\prime }+75 y = 0 \]

14672

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

14673

\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+30 y^{\prime \prime }-56 y^{\prime }+49 y = 0 \]

14674

\[ {}\frac {31 y^{\prime \prime \prime }}{100}+\frac {56 y^{\prime \prime }}{5}-\frac {49 y^{\prime }}{5}+\frac {53 y}{10} = 0 \]

14842

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

14843

\[ {}9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime } = 0 \]

14844

\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime } = 0 \]

15224

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

15227

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

15229

\[ {}y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime } = 0 \]

15231

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

15232

\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 y = 0 \]

15235

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

15236

\[ {}y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y = 0 \]

15237

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

15238

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

15239

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

15240

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

15241

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

15242

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

15243

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

15463

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

15464

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