Consider the following PDE with three independent variables: 10² y Oy² ди Ət 10²u x əx² + Separate variables with u(x, y, t) = f(x)g(y)h(t) to derive ODEs for each of f, g, and h. Do NOT attempt to solve the resulting ODEs. Also, you do not have to separate the variables all at once; you may separate them one at a time if you prefer.

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