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Question

Using Euler's Method with a step size of h = 0.3, estimate the value for y(0.9) for the differential equation  , with y(0.3) = 5. (3 points)

ANSWER CHOICES

	-35.318
	-36.458
	-636.428
	-669.910

Answer 1

From above

y' = (sin(x) -5y²)/3 = f(x,y)

f₀ = f(.3,5) = (sin(.3)-5(5)²)/3 = 41.568

y(.6) = y(.3) + hf₀ = 5+ (.3)(-41.568) = -7.47

f₁ = (sin(.6)-5(-7.47)²)/3 =-92.82

y(.9) = y(.6) + hf₁ = -7.47 + (0.3)(-92.82) = 35.3177 ≈ -35.318 The first choice