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Question Number 131551 by liberty last updated on 06/Feb/21
$$\mathrm{Use}\:\mathrm{Euler}\:\mathrm{method}\:\mathrm{to}\:\mathrm{estimate}\: \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{solution}\:\mathrm{at}\:\mathrm{given}\: \\ $$$$\mathrm{point}\:\mathrm{x}^{\ast} \:.\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\mathrm{5xe}^{\mathrm{x}^{\mathrm{5}} } \:,\mathrm{y}\left(\mathrm{0}\right)=\mathrm{1}\:,\mathrm{dx}=\mathrm{0}.\mathrm{1} \\ $$$$\mathrm{and}\:\mathrm{x}^{\ast} =\mathrm{1}. \\ $$