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AP Calculus BC/Unit 7: Differential Equations
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Euler's Method Approximation

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Given the differential equation dydx=x2−y \frac{dy}{dx} = x^2 - y and the initial condition y(0)=1 y(0) = 1 , what is the approximate value of y(0.2) y(0.2) using Euler’s method with a step size of 0.1?

A

1.10

B

1.01

C

0.81

D

0.90

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