Question: For the ODE: y = y c , y ( 0 ) = 0 , c > 0 , is the solution y ( t

For the ODE: y=yc,y(0)=0, c>0, is the solutiony(t)=0 guaranteed to be unique on some interval [a,a],a>0? If yes, find the values of c>0. If not, find a family of solutions to the initial values problem on [a,a].

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