Solve the following differential equation \(\frac{dy}{dx} =… – BIT Numerical Methods 2080 Solved

BIT Numerical Methods · 2080 · Solved Question with Answer

Solve the following differential equation \(\frac{dy}{dx} = 3x + \frac{y}{2}\) with \(y(0) = 1\) for \(x = 0.2\) (\(h = 0.1\)) using Euler's Method.

Solution

Solve the following differential equation \(\frac{dy}{dx} = 3x + \frac{y}{2}\) with \(y(0) = 1\) for \(x = 0.2\) ( \(h = 0.1\) ) using Euler's Method.