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- Homework Statement
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- Relevant Equations
- please see below

This isn't homework, but I was just wondering whether the following PDE has an analytic solution.

$$\partial_x u(t,x)=u(t,x)$$

where ##x\in R^n## and ##\partial_x## implies a derivative with respect to the spatial variables.

$$\partial_x u(t,x)=u(t,x)$$

where ##x\in R^n## and ##\partial_x## implies a derivative with respect to the spatial variables.