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 $\lfloor E \rfloor$ .