The 1D Heat Equation on an Interval;

Homogeneous Boundary Conditions

Homogeneous Dirichlet Boundary Conditions
$exp(-t)\; sin(x)$	$exp(-\; 4t)\; sin(2x)$	$exp(-9\; t)\; sin(3x)$	$exp(-16\; t)\; sin(4x)$
Homogeneous Neumann Boundary Conditions
$1$	$exp(-\; t)\; cos(x)$	$exp(-4\; t)\; cos(2x)$	$exp(-9\; t)\; cos(3x)$

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