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Engineering Maths · Q5

Numerical Methods

Engineering and GATE · Engineering Maths · question 5

Q5

While numerically solving the differential equation dy dx + 2 x y^2 = 0,\, y ( 0 ) = 1 using Euler's predictor-corrector (improved Euler-Cauchy) with a step size of 0.2, the value of y after the first step is

While numerically solving the differential equation     using Euler's predictor-corrector (improved Euler-Cauchy) with a step size of 0.2, the value of y after the first step is
A.
1.00
B.
1.03
C.
0.97
D.
0.96
Answer

Answer: Option D

Solution

Answer: Option D
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