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Numerical PDE write a matlab program  to solve this equation numerically. Don't use MATLAB'S built-in functions please....

Numerical PDE
write a matlab program  to solve this equation numerically. Don't use MATLAB'S built-in functions please.
dy/dt = e ^ y − αy, y(0) = 0
where α > 0 is a parameter.
Discuss the equilibrium points, the values when e^y = αy and the case when α = 0

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