Consider the system of differential equations dy dz = -y dt dt Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and...

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Extracted text: Consider the system of differential equations dy dz = -y dt dt Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for z from the first equation. Solve the equation you obtained for y as a function of t; hence find a as a function of t. If we also require r(0) = 3 and y(0) = 5, what are z and y? z(t) = y(t)