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$Solve the initial value problem using Euler's method:\frac{d... | Filo$

Solve the initial value problem using Euler's method:\frac{d... | Filo

Solve the initial value problem using Euler's method:\frac{d... | Filo

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Question 3 (25 marks) a) Consider the initial value problem below. Use Euler's Method with a step size of h=0.1. Find approximate values of the solution at t=0.1,0.2,0.3,0.4, and 0.5 . Provide answer up to 4 decimal point. y(t)=2-e^-4 t-2 y, t0=0 and y0=1

Question 3 (25 marks) a) Consider the initial value problem below. Use Euler's Method with a step size of h=0.1. Find approximate values of the solution at t=0.1,0.2,0.3,0.4, and 0.5 . Provide answer up to 4 decimal point. y(t)=2-e^-4 t-2 y, t0=0 and y0=1

11 个月之前

SOLVED:Use Euler's method with step sizes h=0.1, h=0.05, and h=0.025 to find approximate values of the solution of the initial value problem y^' 3 y=7 e^4 x, y(0)=2 at x=0,0.1,0.2,0.3, …, 1.0 . Compare these approximate values with the values of the exact solution y=e^4 x e^-3 x, which can be obtained by the method of Section 2.1. Present your results in a table like Table 3.1 .1 .

SOLVED:Use Euler's method with step sizes h=0.1, h=0.05, and h=0.025 to find approximate values of the solution of the initial value problem y^' 3 y=7 e^4 x, y(0)=2 at x=0,0.1,0.2,0.3, …, 1.0 . Compare these approximate values with the values of the exact solution y=e^4 x e^-3 x, which can be obtained by the method of Section 2.1. Present your results in a table like Table 3.1 .1 .

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Question 3 (25 marks) a) Consider the initial value problem below. Use Euler's Method with a step size of h=0.1. Find approximate values of the solution at t=0.1,0.2,0.3,0.4, and 0.5 . Provide answer up to 4 decimal point. y(t)=2-e^-4 t-2 y, t0=0 and y0=1

Question 3 (25 marks) a) Consider the initial value problem below. Us…

11 个月之前

SOLVED:Use Euler's method with step sizes h=0.1, h=0.05, and h=0.025 to find approximate values of the solution of the initial value problem y^' 3 y=7 e^4 x, y(0)=2 at x=0,0.1,0.2,0.3, …, 1.0 . Compare these approximate values with the values of the exact solution y=e^4 x e^-3 x, which can be obtained by the method of Section 2.1. Present your results in a table like Table 3.1 .1 .

SOLVED:Use Euler's method with step sizes h=0.1, h=0.05, and h=0.…

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