Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1.Display all your results on the same graph. dy = yt' – 1.5y dt (a) Analytically. (b) Euler's method with h = 0.5 and 025. (c) Midpoint method with h = 0.5. (d) Fourth-order Runge-Kutta (RK) method with h = 0.5.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Ordinary Differential Equations
M- 06. Solve the following initial value problem over the interval from t = 0 to 2 where y(0) =
1. Display all your results on the same graph.
dy
dt
= yt' – 1.5y
(a) Analytically.
(b) Euler's method with h = 0.5 and 0.25.
(c) Midpoint method with h = 0.5.
(d) Fourth-order Runge-Kutta (RK) method with h = 0.5.
Transcribed Image Text:Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1. Display all your results on the same graph. dy dt = yt' – 1.5y (a) Analytically. (b) Euler's method with h = 0.5 and 0.25. (c) Midpoint method with h = 0.5. (d) Fourth-order Runge-Kutta (RK) method with h = 0.5.
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