[itex]ax^{''} = 0[/itex](adsbygoogle = window.adsbygoogle || []).push({});

characteristic eqation

[itex]ar^{2} = 0[/itex]

[itex]r_{1,2} = 0[/itex]

since we have double result

[itex]x(t) = c_{1}e^{0t} + c_{2}t e^{0t}[/itex]

so [tex] e^0 = 1 [/tex]

[tex]x(t) = c_{1} + c_{2}t[/tex]

is this a correct result :S ? i'm learning integration by myself and i'm not shure about this case it's not cover in my book if results can be zero or it doesn't matter :S ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is this a correct solution ? to ax'' = 0

**Physics Forums | Science Articles, Homework Help, Discussion**