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3. (14 points) Consider the ODE (t + ky)y' + kg = 263t where k is a constant1 y = y(t) and t > 0. (a) Give all value(s) of k for which the ODE is exact without the need of any integrating factor (there may be no such values). For every such value of k, nd the general solution of that ODE. (b) Give all value(s) of k for which the ODE is made exact through the use of a non-zero integrating factor that is a function of it only (there may be no such values). For every such value of k, nd the general solution of that ODE. (c) Give all value(s) of k for which the ODE is made exact through the use of a non-zero integrating factor that is a function of y only (there may be no such values). For every such value of k, nd the general solution of that ODE