Obtain the exact solution of each of the following ordinary differential equations, taking into account the initial conditions and specified domain.

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du a) dt u; u(0) = 10; te[0,10] 10 du b) dt 1 =-u+100; u(0) = 0; te[0,10] 10 du c) dt cu+10e : u(0) = 0; te[0,10] 10 du d) dt u+10te , u(0) = 10; te[0,10] 10 du a) dt u; u(0) = 10; te[0,10] 10 du b) dt 1 =-u+100; u(0) = 0; te[0,10] 10 du c) dt cu+10e : u(0) = 0; te[0,10] 10 du d) dt u+10te , u(0) = 10; te[0,10] 10