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

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Let y=u(x)y = u(x) be the solution to the differential equation dydx=x+y2\displaystyle\frac{dy}{dx} = x + y^2, where u(1)=0u(1) = 0. What is the approximation of u(1.5)u(1.5) using Euler’s method with five equal steps starting at x=1x = 1?

A

0.7080.708

B

0.6390.639

C

0.5720.572

D

0.7510.751

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