The 2D Heat Equation on a Square;

Homogeneous Neumann Boundary Conditions

$1$	$exp(-\; t)\; cos(x)$	$exp(-4\; t)\; cos(2x)$	$exp(-9\; t)\; cos(3x)$
$exp(-\; t)\; cos(y)$	$exp(-2\; t)\; cos(x)\; cos(y)$	$exp(-5\; t)\; cos(2x)\; cos(y)$	$exp(-10\; t)\; cos(3x)\; cos(y)$
$exp(-4\; t)\; cos(2y)$	$exp(-5\; t)\; cos(x)\; cos(2y)$	$exp(-8\; t)\; cos(2x)\; cos(2y)$	$exp(-13\; t)\; cos(3x)\; cos(2y)$
$exp(-9\; t)\; cos(3y)$	$exp(-10\; t)\; cos(x)\; cos(3y)$	$exp(-13\; t)\; cos(2x)\; cos(3y)$	$exp(-18\; t)\; cos(3x)\; cos(3y)$

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