Allied & ICAR Exam Bank • ALLIED_0106 NAT • 2 Marks

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical solutions of ODEs

Question Statement:

Using Runge-Kutta 4th order (RK4) method to solve $\frac{dy}{dx} = x + y$ with $y(0) = 1$ and step size $h = 0.2$, the first slope $k_1$ is:

Answer Key:

1

Step-by-Step Solution & Explanation

$k_1 = f(x_0, y_0) = 0 + 1 = 1.0$.
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