# Having trouble with Laplace Transform for DiffEQ

## Main Question or Discussion Point

Hello everyone, well thus far in our introduction to Laplace Transforms I am understanding much of what is being shown, however I am having the unsatisfying task of having to solve the following DiffEQ,

$$y^3-8y=\sum_{k=0}^{3}\delta(2t-k\pi), y(0)=0, y'(0), y"(0)=0$$

I am having a great difficulty solving this and am overall not really understanding what do with the summation, does anyone have any strategy? Any help is greatly appreciated thank you.

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