Consider the initial-value problemdydx =y2 , y(0) = 1(a) Use Eulers Method with step

Chapter 8, Problem 20

(choose chapter or problem)

Consider the initial-value problem

$\frac{d y}{d x}=\frac{\sqrt{y}}{2}, y(0)=1$

(a) Use Euler's Method with step sizes of $\Delta x=0.2,0.1,$ and $0.05$to obtain three approximations of $y(1)$

(b) Find $y(1)$ exactly

Equation Transcription:

$\frac{dy}{dx}=\frac{\sqrt{y}}{2},\ y(0)=1$

$\Delta{}x=0.2,\ 0.1,$

$0.05$

$y(1)$

Text Transcription:

dy/dx=sqrt y/2, y(0)=1

x=0.2, 0.1,

0.05

y(1)

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