The ordinary differential equation \(\frac{{{\rm{dy}}}}{{{\rm{dt}}}} = - 3{\rm{x}} + {\rm{}}2,{\rm{with\ x}}\left( 0 \right){\rm{\;}} = {\rm{\;}}1\)

is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is ________.

Enter numerical value using the virtual keypad. Round off where necessary.

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