# 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 $$\lfloor E \rfloor$$.

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