Consider the system of higher order differential equations
a. y′=t−1y′+5y−tz+(sint)z′+e⁴t,
b. z′′=y−7z′.

Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the form y′=P(t)y⃗ +g⃗ (t) .



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