Can the following sum be counted or expressed in terms of special functions?

Can we decipher this ODE? Answer

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Can we decipher this ODE?

I’m contemplating the ODE

$$y'(x) = commence{pmatrix} 0 & 1-sin(x-frac{pi}{4}) 1 – error(x+frac{pi}{4}) & 0 aim{pmatrix} y(x).$$

My query is: Can we discover an categorical answer to this ODE? An answer clearly exists, however I’m questioning if one can discover it explicitly?

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