4.25.9 Problems 801 to 900

Table 4.1479: Second order, Linear, Homogeneous and constant coefficients

#

ODE

Mathematica

Maple

Sympy

17915

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

17916

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

17917

\[ {} x^{\prime \prime }+256 x = 0 \]

17918

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

17919

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

17920

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

17921

\[ {} \frac {x^{\prime \prime }}{32}+2 x^{\prime }+x = 0 \]

17922

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

17923

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

17924

\[ {} x^{\prime \prime }+4 x^{\prime }+13 x = 0 \]

17925

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

17947

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

17948

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

18198

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

18239

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

18240

\[ {} 3 y^{\prime \prime }-2 y^{\prime }-8 y = 0 \]

18242

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

18243

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

18245

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

18247

\[ {} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0 \]

18250

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

18251

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

18457

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

18458

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

18459

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

18467

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

18468

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

18469

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

18470

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

18472

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

18473

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

18474

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

18475

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

18478

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

18479

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

18575

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

18578

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

18579

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

18839

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

18840

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

18841

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

18842

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

18843

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

18854

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

18855

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

18858

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

18859

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

18870

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

18871

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

18872

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

18873

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

18874

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

18875

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

18876

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

18877

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

18878

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

18879

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

18880

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

18881

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

18882

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

18883

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

18884

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

18885

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

18886

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

18887

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

18888

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

18889

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

18890

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

18891

\[ {} 9 y^{\prime \prime }-24 y^{\prime }+16 y = 0 \]

18892

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

18893

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

18894

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

18895

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

18896

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

18897

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

18898

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

18899

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

18900

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

18901

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

18902

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

18903

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

18904

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

18905

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

18906

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

18907

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

18908

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

18909

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

18910

\[ {} y^{\prime \prime }+8 y^{\prime }-9 y = 0 \]

18911

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

18912

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

18926

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

18927

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

18928

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

18998

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

18999

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

19000

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

19001

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

19011

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

19013

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

19014

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