Allied & ICAR Exam Bank • ALLIED_2774 NAT • 2 Marks

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical solutions of ODEs

Question Statement:

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

Answer Key:

1.1

Step-by-Step Solution & Explanation

Euler formula: $y_1 = y_0 + h f(x_0, y_0) = 1 + 0.1(1) = 1.1$.
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