Question: ASK YOUR TEACHER Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h =


ASK YOUR TEACHER Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for the initial-value problem and then fill in the following tables (Round your answers to four decimal places. Percentages may be rounded to two decimal places. Use the rounded values for subsequent calculations.) y = y. y(0) - 1; (1.0) Y(x) = (explicit solution) h = 0.1 Yo Actual Value Absolute Error % Rel. Error 0.00 1.0000 1.0000 0.0000 0.00 0.10 1.1052 0.20 1.2214 0.30 1.3499 0.40 1.4918 0.50 1.6487 0.60 1.8221 0.70 2.0138 0.80 2.2255 0.90 2.4596 1.00 2.7183 Value Error Error 0.00 1.0000 1.0000 0.0000 0.00 0.05 1.0500 1.0513 0.0013 0.12 0.10 1.1025 1.1052 0.0027 0.24 0.15 1.1576 1.1618 0.0042 0.36 0.20 1.2155 1.2214 0.0059 0.48 0.25 1.2763 1.2840 0.0077 0.60 0.30 1.3401 1.3499 0.0098 0.73 0.35 1.4071 1.4191 0.0120 0.85 0.40 1.4775 1.4918 0.0143 0.96 0.45 1.5514 1.5683 0.0169 1.08 0.50 1.6290 1.6487 0.0197 1.19 0.55 1.7105 1.7333 1.32 0.0228 0.60 1.7960 1.8221 0.0261 1.43 1.55 0.65 1.8858 0.0297 1.9155 1.67 0.70 1.9801 0.0337 2.0138 1.79 0.75 2.0791 0.0379 2.1170 0.0424 1.91 0.80 2.1831 2.2255 0.0473 2.02 2.3396 0.es 2.2923 0.0527 2.14 2.4596 0.90 2.4069 2.26 2.5857 0.0585 0.95 2.5272 2.7183 1.00 ASK YOUR TEACHER Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for the initial-value problem and then fill in the following tables (Round your answers to four decimal places. Percentages may be rounded to two decimal places. Use the rounded values for subsequent calculations.) y = y. y(0) - 1; (1.0) Y(x) = (explicit solution) h = 0.1 Yo Actual Value Absolute Error % Rel. Error 0.00 1.0000 1.0000 0.0000 0.00 0.10 1.1052 0.20 1.2214 0.30 1.3499 0.40 1.4918 0.50 1.6487 0.60 1.8221 0.70 2.0138 0.80 2.2255 0.90 2.4596 1.00 2.7183 Value Error Error 0.00 1.0000 1.0000 0.0000 0.00 0.05 1.0500 1.0513 0.0013 0.12 0.10 1.1025 1.1052 0.0027 0.24 0.15 1.1576 1.1618 0.0042 0.36 0.20 1.2155 1.2214 0.0059 0.48 0.25 1.2763 1.2840 0.0077 0.60 0.30 1.3401 1.3499 0.0098 0.73 0.35 1.4071 1.4191 0.0120 0.85 0.40 1.4775 1.4918 0.0143 0.96 0.45 1.5514 1.5683 0.0169 1.08 0.50 1.6290 1.6487 0.0197 1.19 0.55 1.7105 1.7333 1.32 0.0228 0.60 1.7960 1.8221 0.0261 1.43 1.55 0.65 1.8858 0.0297 1.9155 1.67 0.70 1.9801 0.0337 2.0138 1.79 0.75 2.0791 0.0379 2.1170 0.0424 1.91 0.80 2.1831 2.2255 0.0473 2.02 2.3396 0.es 2.2923 0.0527 2.14 2.4596 0.90 2.4069 2.26 2.5857 0.0585 0.95 2.5272 2.7183 1.00
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