Euler’s Method One-Step Approximation

00:00 2 marks

Given the first order differential equation $\frac{dy}{dx} = x + y$ with the initial condition $y(0)=1$, use Euler’s Method with a step size of $h=0.1$ to approximate $y(0.1)$.

Hint Hint

Hint

Recall that Euler’s method uses the iterative formula $y_{i+1}=y_{i}+h\,f(x_{i}, y_{i})$ where $f(x,y)=x+y$. In this case, you only need to perform one iteration starting from $x_0 = 0$ and $y_0 = 1$.

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Answer Answer

Complete Answer

y(0.1) = 1.1

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Answer Explanation Answer Explanation

Common Errors Common Errors

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Formula Booklet

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