Euler's Method

Calculus Level 5

Given the differential equation \( \frac{dy}{dx} = ye^{\pi x} \) determine an estimate for the value of \( y(1) \) given that \( y(0) = 3 \). Use Euler's method to determine your estimate, with a stepsize of \( 0.2 \). If your estimate is equal to \( E \), the solution to this question will be \( \lfloor E \rfloor \).