Consider the linear equation
Y ′(x) = λY (x) + (1 − λ) cos(x) − (1 + λ) sin(x), quadY (0) =
1
. The true solution is Y (x) = sin(x) + cos(x). Solve this problem using Euler’s method with several values of λ and h, for 0 ≤ x ≤ 10. Comment on the results.
(a) λ = −1; h = 0.5, 0.25, 0.125 (b) λ = 1; h = 0.5,0.25,0.125
(c) λ = −5; h = 0.5, 0.25, 0.125, 0.0625 (d) λ=5;h=0.0625
Here I have done for 1st two cases.
Thank you so much sir
Consider the linear equation Y ′(x) = λY (x) + (1 − λ) cos(x) − (1...
8.2 (2). Consider the linear equation Y'(x) = XY (2) + (1 - 1) cos(x) - (1+) sin(x), quady (0) = 1 The true solution is Y (1) = sin(1) + cos(r). Solve this problem using Euler's method with several values of and h, for 0 <<<10. Comment on the results. (a) X = -1; h=0.5, 0.25, 0.125 (b) X = 1; h = 0.5, 0.25, 0.125 (c) = -5; h=0.5, 0.25, 0.125, 0.0625 (d) = 5; h= 0.0625
8.2 (2). Consider the linear equation Y'(x) = XY (2) + (1 - 1) cos(x) - (1+) sin(x), quady (0) = 1 The true solution is Y (1) = sin(1) + cos(r). Solve this problem using Euler's method with several values of and h, for 0 <<<10. Comment on the results. (a) X = -1; h=0.5, 0.25, 0.125 (b) X = 1; h = 0.5, 0.25, 0.125 (c) = -5; h=0.5, 0.25, 0.125, 0.0625 (d) = 5; h= 0.0625
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