Answered step by step
Verified Expert Solution
Question
1 Approved Answer
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
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started