Qu 2 a). Find an approximation for y when x =1, using Euler's five-step forward method. dy = xy +1; and y = 1, when x = 0. dx b). Use Euler's modified method to evaluate the approximation in 2a). comment on your results c). Find the solution(s) to the differential equation using the D operator. d?y 12 + 36y = 0 dx | dx2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Qu 2
a). Find an approximation for y when x =1, using Euler's five-step
forward method.
dy
= xy +1; and y = 1, when x = 0.
dx
b). Use Euler's modified method to evaluate the approximation in 2a).
comment on your results
c). Find the solution(s) to the differential equation using the D operator.
d²y
12 + 36y = 0
dx
|
dx²
Transcribed Image Text:Qu 2 a). Find an approximation for y when x =1, using Euler's five-step forward method. dy = xy +1; and y = 1, when x = 0. dx b). Use Euler's modified method to evaluate the approximation in 2a). comment on your results c). Find the solution(s) to the differential equation using the D operator. d²y 12 + 36y = 0 dx | dx²
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