Estimate the values of y(0.2) and y(0.4) for the following DE, using Improved Euler's Method, rounded to 6 decimal places. Use h = 0.2 and y(0) = 0.1. y' + xy 10 sin x Show the values of m, and m, for every step, rounded to 6 decimal places. Hints not available, as not RK4. MUST use values in radians for trigonometric functions.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Estimate the values of y(0.2) and y(0.4) for the following DE, using Improved Euler's Method,
rounded to 6 decimal places.
Use h = 0.2 and y(0)= 0.1.
y' + xy = 10 sin x
Show the values of m, and m, for every step, rounded to 6 decimal places.
Hints not available, as not RK4.
MUST use values in radians for trigonometric functions.
Transcribed Image Text:Estimate the values of y(0.2) and y(0.4) for the following DE, using Improved Euler's Method, rounded to 6 decimal places. Use h = 0.2 and y(0)= 0.1. y' + xy = 10 sin x Show the values of m, and m, for every step, rounded to 6 decimal places. Hints not available, as not RK4. MUST use values in radians for trigonometric functions.
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