Allied & ICAR Exam Bank • ALLIED_0804 NAT • 2 Marks

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical solutions of ODEs

Question Statement:

Using Euler's forward method to solve $\frac{dy}{dx} = x + y$ with $y(0) = 1$ and step size $h = 0.1$, the value of $y(0.1) = y_0 + h(x_0 + y_0) = 1 + 0.1(0 + 1)$ is:

Answer Key:

1.1

Step-by-Step Solution & Explanation

$y(0.1) = 1.0 + 0.1(1.0) = 1.1$.
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