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For dy/dx = x + y with y(0) = 1 and a step size h = 0.1, Euler's method gives y(0.1) equal to

2185Medium DSSSB TGT Computer Science 0 replies 1 views
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For dy/dx = x + y with y(0) = 1 and a step size h = 0.1, Euler's method gives y(0.1) equal to

  • A1.10
  • B1.01
  • C1.11
  • D1.21
Correct answer: A

Explanation

y₁ = y₀ + h·f(x₀, y₀) = 1 + 0.1 × (0 + 1) = 1.10.

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