Show transcribed image text vte: The application following this problem set lists illus- trative calculator/computer programs that can be used in the remaining problems. A programmable calculator or a computer will be useful for roblems 11 through 16. In each problem find the exact solu- tion of the given initial value problem. Then apply the Runge Kutta method twice to approximate (to five decimal places) this solution on the given interval, first with step size h = 0.2, then with step size h = 0.1. Make a table showing the approximate values and the actual value, together with the percentage errorthe Use in the more accurate approximation, for x an integral multist ple of 0.2. Throughout, primes denote derivatives with respect unt to x. rou 27. 28. 11. y'=y-2, y(0)=1;0-x-1 13. yy, 2×3, y(1) 3, l-x-2
vte: The application following this problem set lists illus- trative calculator/computer programs that can be used in the remaining problems. A programmable calculator or a computer will be useful for roblems 11 through 16. In each problem find the exact solu- tion of the given initial value problem. Then apply the Runge Kutta method twice to approximate (to five decimal places) this solution on the given interval, first with step size h = 0.2, then with step size h = 0.1. Make a table showing the approximate values and the actual value, together with the percentage errorthe Use in the more accurate approximation, for x an integral multist ple of 0.2. Throughout, primes denote derivatives with respect unt to x. rou 27. 28. 11. y'=y-2, y(0)=1;0-x-1 13. yy, 2×3, y(1) 3, l-x-2
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