## Question

###### Point) Consider the system of differential equationsdx dtdy =_5c_ dt~5yConvert this system t0 second order differential equation in y by differentiating the second equation with respect to t and substituting for T from the first equation. Solve the equation you obtained for y as a function of t; hence find as a function of t. If we also require I(0) = 2and y(0) = 1, whal are . and 9?x(t) y(t)

point) Consider the system of differential equations dx dt dy =_5c_ dt ~5y Convert this system t0 second order differential equation in y by differentiating the second equation with respect to t and substituting for T from the first equation. Solve the equation you obtained for y as a function of t; hence find as a function of t. If we also require I(0) = 2and y(0) = 1, whal are . and 9? x(t) y(t)

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