3.4.30 Problems 2901 to 3000

Table 3.395: Second ODE homogeneous ODE

#

ODE

Mathematica

Maple

13803

\[ {}y^{\prime \prime }-9 y^{\prime }+14 y = 0 \]

13804

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]

13807

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

13808

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

13809

\[ {}x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0 \]

13810

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

13812

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

13813

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

13814

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

13815

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

13816

\[ {}y^{\prime \prime }-8 y^{\prime }+25 y = 0 \]

13817

\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-30 y = 0 \]

13818

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

13819

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

13820

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

13822

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

13823

\[ {}9 x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0 \]

13826

\[ {}y^{\prime \prime }+20 y^{\prime }+100 y = 0 \]

13827

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

13828

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

13840

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

13862

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

13863

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

13866

\[ {}y^{\prime \prime }-8 y^{\prime }+17 y = 0 \]

13868

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

13869

\[ {}y^{\prime \prime }+8 y^{\prime }+17 y = 0 \]

14049

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

14057

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

14058

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

14059

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

14061

\[ {}y^{\prime \prime }-12 y^{\prime }+40 y = 0 \]

14064

\[ {}x^{2} y^{\prime \prime }-12 x y^{\prime }+42 y = 0 \]

14065

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

14086

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

14087

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

14090

\[ {}t^{2} y^{\prime \prime }-12 t y^{\prime }+42 y = 0 \]

14091

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

14099

\[ {}16 y^{\prime \prime }+24 y^{\prime }+153 y = 0 \]

14108

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

14109

\[ {}y^{\prime \prime }-6 y^{\prime }+45 y = 0 \]

14110

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

14111

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

14122

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

14445

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

14446

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

14447

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

14448

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

14449

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

14450

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

14451

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

14452

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

14454

\[ {}y^{\prime \prime }+10 y^{\prime }+24 y = 0 \]

14455

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

14456

\[ {}y^{\prime \prime }+6 y^{\prime }+18 y = 0 \]

14457

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

14458

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

14459

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

14460

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

14461

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

14462

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

14463

\[ {}y^{\prime \prime }+49 y = 0 \]

14464

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

14465

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

14466

\[ {}t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-\frac {1}{4}\right ) y = 0 \]

14467

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

14468

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

14469

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

14470

\[ {}4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (36 t^{2}-1\right ) y = 0 \]

14471

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

14472

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

14473

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

14474

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

14475

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

14476

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

14477

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

14478

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

14479

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

14480

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

14481

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

14482

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

14483

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

14484

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

14485

\[ {}4 y^{\prime \prime }+21 y^{\prime }+5 y = 0 \]

14486

\[ {}7 y^{\prime \prime }+4 y^{\prime }-3 y = 0 \]

14487

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

14488

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

14489

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

14490

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

14491

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

14492

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

14493

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

14494

\[ {}y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]

14495

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

14496

\[ {}y^{\prime \prime }+100 y = 0 \]

14497

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

14498

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

14499

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

14500

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

14501

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

14502

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