Using Euler's modified formula, solve $$\frac{dy}{dx} = 1 - 2xy, \; y…

Previous year question for Numerical Methods & Transform Calculus.

Question

Using Euler's modified formula, solve

$$\frac{dy}{dx} = 1 - 2xy, \; y(0) = 0$$

from $x = 0$ to $0.6$ taking the interval $h = 0.2$.

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