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

question 40

True/False

Use Euler's method with n = 5 on the interval 0 ≤ t ≤ $\frac { 1 } { 2 }$ to approximate the solution f(t) to $y ^ { \prime } = 3 y , y ( 0 ) = 1$ Is the following the correct answer? $\begin{array} { l } \mathrm { t } _ { 0 } = 0 ; \quad \mathrm { y } _ { 0 } = 1 \\\mathrm { t } _ { 1 } = 0.1 ; \quad \mathrm { y } _ { 1 } = 1.3 \\\mathrm { t } _ { 2 } = 0.2 ; \quad \mathrm { y } _ { 2 } = 1.69 \\\mathrm { t } 3 = 0.3 ; \quad \mathrm { y } _ { 3 } = 2.197 \\\mathrm { t } _ { 4 } = 0.4 ; \quad \mathrm { y } _ { 4 } = 2.8561 \\5 = 0.5 ; \quad \text { y5 } = 3.71293 \\\end{array}$

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