4.8.18 Problems 1701 to 1800

Table 4.829: Third and higher order ode

#

ODE

Mathematica

Maple

Sympy

21621

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

21622

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

21623

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

21624

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

21649

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 3 \,{\mathrm e}^{x} \]

21650

\[ {} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 4 \sin \left (2 x \right ) \]

21651

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 2 x \,{\mathrm e}^{-x} \]

21652

\[ {} y^{\prime \prime \prime }-y^{\prime } = 3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x} \]

21653

\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime } = 3 x^{2}+4 \sin \left (x \right )-2 \cos \left (x \right ) \]

21666

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{x} \]

21667

\[ {} y^{\prime \prime \prime }+y^{\prime } = \sec \left (x \right ) \]

21668

\[ {} y^{\prime \prime \prime \prime } = 5 x \]

21674

\[ {} x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 4 \ln \left (x \right ) \]

21686

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

21689

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

21690

\[ {} y^{\left (6\right )}+8 y^{\prime \prime \prime } = a \,{\mathrm e}^{x} \]

21692

\[ {} y^{\prime \prime \prime }-y^{\prime } = a \sin \left (b x \right ) \]

21694

\[ {} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 96 \,{\mathrm e}^{-4 x} \]

21698

\[ {} y^{\prime \prime \prime }+y^{\prime }+y = \sin \left (3 x \right ) \]

21699

\[ {} y^{\prime \prime \prime }-5 y^{\prime \prime }+3 y^{\prime }+9 y = {\mathrm e}^{3 x} \]

21703

\[ {} 4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = \cos \left (2 x \right ) \]

21705

\[ {} y^{\prime \prime \prime \prime }-y = \cos \left (2 x \right ) \]

21706

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

21837

\[ {} y^{\prime \prime \prime }+y^{\prime } = {\mathrm e}^{t} \]

21838

\[ {} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+2 y = 10 \cos \left (t \right ) \]

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

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

21998

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 2 x^{2}-3 x -17 \]

22004

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = x^{3}+{\mathrm e}^{x} \]

22006

\[ {} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime } = x \,{\mathrm e}^{x} \]

22008

\[ {} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x} \sin \left (x \right ) \]

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

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

22055

\[ {} y^{\prime \prime \prime }-y^{\prime \prime } = 3 x +x \,{\mathrm e}^{x} \]

22057

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \frac {{\mathrm e}^{x}}{x^{3}} \]

22064

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

22065

\[ {} y^{\prime \prime \prime }-5 x y^{\prime } = {\mathrm e}^{x}+1 \]

22068

\[ {} 5 {b^{\prime \prime \prime \prime }}^{5}+7 {b^{\prime }}^{10}+b^{7}-b^{5} = p \]

22071

\[ {} x^{4} y^{\prime \prime \prime \prime }+x y^{\prime \prime \prime } = {\mathrm e}^{x} \]

22073

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

22076

\[ {} b^{\left (7\right )} = 3 p \]

22194

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

22199

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

22201

\[ {} y^{\prime \prime \prime \prime }+x^{2} y^{\prime \prime \prime }+x y^{\prime \prime }-{\mathrm e}^{x} y^{\prime }+2 y = x^{2}+x +1 \]

22205

\[ {} y^{\prime \prime \prime }+\left (x^{2}-1\right ) y^{\prime \prime }-2 y^{\prime }+y = 5 \sin \left (x \right ) \]

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

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

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

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

22248

\[ {} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 2 x \,{\mathrm e}^{-x} \]

22262

\[ {} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}+1 \]

22263

\[ {} y^{\prime \prime \prime }+y = \sec \left (x \right ) \]

22267

\[ {} y^{\prime \prime \prime \prime } = 5 x \]

22273

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

22277

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

22354

\[ {} y^{\prime \prime \prime }+y^{\prime } = {\mathrm e}^{t} \]

22369

\[ {} y^{\prime \prime \prime }-y = 5 \]

22370

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

22408

\[ {} {s^{\prime \prime \prime }}^{2}+{s^{\prime \prime }}^{3} = s-3 t \]

22417

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

22430

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

22436

\[ {} y^{\prime \prime \prime } = -24 \cos \left (\frac {\pi x}{2}\right ) \]

22445

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

22594

\[ {} y^{\prime \prime \prime \prime } = \frac {x}{3} \]

22595

\[ {} y^{\prime \prime \prime } = 3 \sin \left (x \right ) \]

22596

\[ {} 2 y^{\prime \prime \prime \prime } = {\mathrm e}^{x}-{\mathrm e}^{-x} \]

22599

\[ {} x^{3} y^{\prime \prime \prime } = 1+\sqrt {x} \]

22608

\[ {} y^{\prime \prime \prime \prime } = \ln \left (x \right ) \]

22609

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

22610

\[ {} x y^{\prime \prime \prime }+y^{\prime \prime } = 1 \]

22611

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

22612

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

22614

\[ {} 2 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 1 \]

22695

\[ {} x^{4} y^{\prime \prime \prime }+1 = 0 \]

22716

\[ {} y^{\prime \prime \prime \prime } = 2 y^{\prime \prime \prime }+24 x \]

22730

\[ {} 3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+y = \sin \left (x \right )+{\mathrm e}^{-x} \]

22735

\[ {} y^{\prime \prime \prime }+y^{\prime } = \sin \left (2 x \right ) \]

22741

\[ {} y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y = 3 \,{\mathrm e}^{x}-2 \]

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

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