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Use Euler's Method to Calculate the First Three Approximations to the Given

Question 2

Multiple Choice

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.
- y=3xy3y,y(2) =4,dx=0.2y ^ { \prime } = 3 x y - 3 y , y ( 2 ) = 4 , d x = 0.2


A) y1=4.8000,y2=6.8800y _ { 1 } = 4.8000 , y _ { 2 } = 6.8800 , y3=79.2576y _ { 3 } = 79.2576
B) y1=1.6000,y2=11.0080,y3=42.2707\mathrm { y } _ { 1 } = 1.6000 , \mathrm { y } _ { 2 } = 11.0080 , \mathrm { y } _ { 3 } = 42.2707
C) y1=8.0000,y2=12.3840,y3=52.8384\mathrm { y } _ { 1 } = 8.0000 , \mathrm { y } _ { 2 } = 12.3840 , \mathrm { y } _ { 3 } = 52.8384
D) y1=6.4000,y2=11.0080,y3=20.2547y _ { 1 } = 6.4000 , y _ { 2 } = 11.0080 , y _ { 3 } = 20.2547

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