# The 2D Heat Equation on a Square;

## Homogeneous Neumann Boundary Conditions

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

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