Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.
-y'(t) = -4y, y(0) = 1; $\Delta$t = 0.2, T = 1; y(t) =
A) y(1) $\approx$ 0.00032; 0.01800
B) y(1) $\approx$ 0.00032; 0.20000
C)y(1) $\approx$ 0.00160; 0.01672
D) y(1) $\approx$ 0.00032; 0.01832

Question

Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.
-y'(t) = -4y, y(0) = 1; $\Delta$t = 0.2, T = 1; y(t) = 
A) y(1) $\approx$ 0.00032; 0.01800 
B) y(1) $\approx$ 0.00032; 0.20000 
C)y(1) $\approx$ 0.00160; 0.01672 
D) y(1) $\approx$ 0.00032; 0.01832

Quizplus · Accepted Answer

The Answer of Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.
-y'(t) = -4y, y(0) = 1; $\Delta$t = 0.2, T = 1; y(t) = 
A) y(1) $\approx$ 0.00032; 0.01800 
B) y(1) $\approx$ 0.00032; 0.20000 
C)y(1) $\approx$ 0.00160; 0.01672 
D) y(1) $\approx$ 0.00032; 0.01832

Use a Calculator or Computer Program to Approximate the Value Δ\DeltaΔ

Use a Calculator or Computer Program to Approximate the Value $\Delta$