Approximating \(y(0.2)\) using Euler’s Method

00:00 3 marks

  • Build Confidence
  • SL
  • Tier 1
  • Iterative approximation
  • Euler's Method
  • Numerical solution of differential equations

Given the differential equation \(y’ = x + y\) with the initial condition \(y(0) = 1\), use Euler’s method with a step size of \(h = 0.2\) to approximate \(y(0.2)\).

Hint Hint

Hint

Remember to correctly identify \(f(x, y)\) from the differential equation and apply the Euler’s method formula iteratively.

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\(1.2\)

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