[Tex/LaTex] Begin Array in LaTex


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Tried the equation in the image below with the following codes, but was encountering errors. Please can anybody be kind enough to help. Thanks.

{p^'}_0\left( t \right) =  - \lambda {p_0}\left( t \right) + \mu {p_1}\left( t \right),\\
{p^'}_j\left( t \right) = \lambda {p_{j - 1}}\left( t \right) - \left( {\lambda  + j\mu } \right){p_j}\left( t \right) + \mu \left( {j + 1} \right){p_{j + 1}}\left( t \right)

Best Answer

there are several problems with the code used:

  • array must be inside a math environment; this could be fixed by enclosing it in \[ ... \]

  • the alignment within the array must be specified; for this, \begin{array}{l} would work.

  • the primes (input as apostrophes) are defined to be superscripts, so the explicit ^ is unwanted.

  • the \left ... \right for the parentheses isn't needed anywhere, since everything within them is "normal" size

  • extra grouping with braces isn't needed except around the multi-element subscripts

it would be equally appropriate, and perhaps simpler, to use the align* environment from amsmath:

p'_0 (t) &= -\lambda p_0 (t) + \mu p_1 (t),\\
p'_j (t) &=  \lambda p_{j-1} (t) - (\lambda + j\mu) p_j (t) + \mu (j+1) p_{j+1} (t)

output of example code