Question: Write the system of differential equations x + 2(sin t)x = et, y + t2y + 4y = cos t, as a system of first

Write the system of differential equations x + 2(sin t)x = et, y + t2y + 4y = cos t, as a system of first order equations in the form x(t) = f (x, t). 2. For what values of t = a in the initial condition x(a) = b do we expect to find a unique solution? Explain. 1

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