Question: (10%) Determine whether exy=x-y-1 is an implicit solution to the differential equationdydx=1-yexy1xexy.(15%) Solve the differential equation.(a)dudt-8t3e-2u=0.(b)dvdt=sect-vtant.(20%) Obtain the general solution of the following ordinary differential

(10%) Determine whether exy=x-y-1 is an implicit solution to the differential equationdydx=1-yexy1xexy.(15%) Solve the differential equation.(a)dudt-8t3e-2u=0.(b)dvdt=sect-vtant.(20%) Obtain the general solution of the following ordinary differential equation.(yexy-1y)dx(xexyxy2)dy=0

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