= 4. With a step size of h .1 find a numerical solution to the initial value problem y' + 2y = r³e-2r, y(0) = 1 at x = .2 using: (a) Euler's Method

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Chapter2: Second-order Linear Odes
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4. With a step size of h= .1 find a numerical solution to the initial value problem y' + 2y =
r³e-2, y(0) = 1 at x = .2 using:
(a) Euler's Method
(b) Improved Euler's Method
(c) Midpoint Method
(d) Runge-Kutta Method
Transcribed Image Text:4. With a step size of h= .1 find a numerical solution to the initial value problem y' + 2y = r³e-2, y(0) = 1 at x = .2 using: (a) Euler's Method (b) Improved Euler's Method (c) Midpoint Method (d) Runge-Kutta Method
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