I dont understand how to distrubute to get the 10.3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 1YT: YOUR TURN Find dy if y=300x23,x=8, and dx=0.05.
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I dont understand how to distrubute to get the 10.3

Sol?:-
You = Yn+h {(xn, Y,)
y'= 2x-3y+1, y(1)=6
• h: 0.1
y, = 4o+hflxo, Y%)
= 6 + (0.1) {(1,6)
= 6+ (0.1) (- 15 )
: Y, = 4.5 → y(l.1)=4.5
Y2 = 4,+ h f(X,Y,)
= 4.5+(0.1)6(1,1,4.5)
:4.5+(0.1) (-10.3)
. り2- 3.47
2. y(1.2) = 3.47
Transcribed Image Text:Sol?:- You = Yn+h {(xn, Y,) y'= 2x-3y+1, y(1)=6 • h: 0.1 y, = 4o+hflxo, Y%) = 6 + (0.1) {(1,6) = 6+ (0.1) (- 15 ) : Y, = 4.5 → y(l.1)=4.5 Y2 = 4,+ h f(X,Y,) = 4.5+(0.1)6(1,1,4.5) :4.5+(0.1) (-10.3) . り2- 3.47 2. y(1.2) = 3.47
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