Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 Yn+1=Yn+hf(x* Yn) and, first using h = 0.1 and then using h = 0.05. y' = 2x - 3y + 1, y(1) = 7; y(1.2) 2) 3.96 (h = 0.1) 2) 4.1592 X (h = 0.05)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6
Yn+1=Yn+hf(xn Yn) (3)
by hand, first using h = 0.1 and then using h = 0.05.
y' = 2x - 3y + 1, y(1) = 7; y(1.2)
y(1.2) 3.96
(h = 0.1)
y(1.2) 4.1592
X
(h = 0.05)
Transcribed Image Text:Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 Yn+1=Yn+hf(xn Yn) (3) by hand, first using h = 0.1 and then using h = 0.05. y' = 2x - 3y + 1, y(1) = 7; y(1.2) y(1.2) 3.96 (h = 0.1) y(1.2) 4.1592 X (h = 0.05)
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