y'+ty13=tan(t),      y(−1)=−1y′+ty13=tan(t),      y(-1)=-1 a) Rewrite the differential equation, if necessary, to obtain the form y'=f(t,y)y′=f(t,y) f(t,y)f(t,y) =    b) Compute the partial derivative of ff with respect to yy. Determine where in the tyty-plane both f(t,y)f(t,y) and its derivative are continuous. c) Find the largest open rectangle in the tyty-plane on which the solution of the initial value problem above is certain to exist for the initial condition. (Enter oo for infinity) tt interval is (    ,    )

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