Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x −
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Answer:
Therefore the value of y(1)= 0.9152.
Step-by-step explanation:
According to the Euler's method
y(x+h)≈ y(x) + hy'(x) ....(1)
Given that y(0) =3 and step size (h) = 0.2.
Putting the value of y'(x) in equation (1)
Substituting x =0 and h= 0.2
[∵ y(0) =3 ]
Substituting x =0.2 and h= 0.2
Substituting x =0.4 and h= 0.2
Substituting x =0.6 and h= 0.2
Substituting x =0.8 and h= 0.2
Therefore the value of y(1)= 0.9152.