3.25.2 Problems 101 to 200

Table 3.877: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

664

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

665

\[ {}9 y^{\prime \prime }+6 y^{\prime }+82 y = 0 \]

666

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

667

\[ {}4 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \]

668

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

705

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

706

\[ {}u^{\prime \prime }+\frac {u^{\prime }}{4}+2 u = 0 \]

833

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

834

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

835

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

836

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

837

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

1087

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

1088

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

1089

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

1090

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

1091

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

1093

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

1094

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

1095

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

1716

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

1717

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

1718

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

1719

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

1720

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

1721

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

1722

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

1723

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

1724

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

1728

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

1729

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

1730

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

1731

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

1732

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

1733

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

1734

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

1735

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

1736

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

1739

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

1740

\[ {}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]

1741

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

1742

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

1743

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

1744

\[ {}9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]

2088

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

2089

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

2090

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

2091

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

2092

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

2093

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

2094

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

2095

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

2096

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

2117

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

2118

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

2129

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

2274

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

2275

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

2295

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

2311

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

2514

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

2587

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

2588

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

2589

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

2592

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

2593

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

2599

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

2600

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

2601

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

2602

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

2603

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

2619

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

2725

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

2726

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

2727

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

2728

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

2846

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

2847

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

2866

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

4572

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

4573

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

4574

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

4575

\[ {}6 y^{\prime \prime }-11 y^{\prime }+4 y = 0 \]

4576

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

4581

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

4582

\[ {}y^{\prime \prime }+4 k y^{\prime }-12 k^{2} y = 0 \]

4584

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

4587

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

4593

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

4594

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

4596

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

4601

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

4602

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

4603

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

4604

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

4791

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

4792

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

4793

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

4794

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

4795

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