y+ty=tan(t), y(6)=8 a) Rewrite the differential equation, if necessary, to obtain the form y=f(t,y), y(to) = 30 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 that contains the point y(to) = yo on which there exists a unique solution of the initial value problem above. (Enter oo for infinity) t interval is ( y interval is ( 4

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