y' + ty = tan(t), y( – 4) = 13 a) Rewrite the differential equation, if necessary, to obtain the form y' = f(t, y) f(t, y) = b) Compute the partial derivative of f with respect to y. Determine where in the ty-plane both f(t, y) and its derivative are continuous. c) Find the largest open rectangle in the ty-plane on which the solution of the initial value problem above is certain to exist for the initial condition. (Enter oo for infinity) t interval is ( y interval is ( Question Help: O Message instructor Submit Question

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