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Assuming that the 2 in "5x2" is a power (5x2), then no, this is not a linear equation. It is a parabolic equation.
the square
It's all around you, starting with equation of diffusion and ending with equation of propagation of sound and EM waves.
Such an equation would represent an ill-posed problem for all positive time (i.e. the solution is not defined). The irreversibility of diffusive processes is closely related to the second law of thermodynamics. Petr
The synonym for the adjective parabolic would be parobolical.