Use Euler's Method with N = 5 on the Interval $\frac { 1 } { 2 }$

question 121

True/False

Use Euler's method with n = 5 on the interval 0 ≤ t ≤ $\frac { 1 } { 2 }$ to approximate the solution $f ( t ) \text { to } y ^ { \prime } = - ( y + t ) , y ( 0 ) = - 1 \text {. }$ Is the following the correct answer? $\begin{array} { r l r l } &\mathrm { t } _ { 0 } = 0 ; & & y _ { 0 } = - 1 \\\mathrm { t } _ { 1 } & = 0.1 ; & & y _ { 1 } = - 0.9 \\\mathrm { t } _ { 2 } & = 0.2 ; & & y _ { 2 } = - 0.82 \\\mathrm { t } _ { 3 } & = 0.3 ; & & y _ { 3 } = - 0.758 \\\mathrm { t } _ { 4 } & = 0.4 ; & & y _ { 4 } = - 0.7122 \\\mathrm { t } _ { 5 } & = 0.5 ; & & y _ { 5 } = - 0.68098\end{array}$

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