Euler's Method

Calculus Level 5

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

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