3. a) Obtain the solution of the initial value problem d²y dx² - dy 1 .dx. 2 + y = x y (1) = 3 dy (1) = -2 dx at x = 1.5 using the Modified Euler's Method (Midpoint Method) with a stepsize of 0.5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. a) Obtain the solution of the initial value problem
d²y
dx²
-
dy
1
dx.
2
+ y = x
y(1) = 3
dx
(1) = -2
at x = 1.5 using the Modified Euler's Method (Midpoint Method) with a stepsize of 0.5.
b) Set up the solution of the problem using the Matlab built-in program ode45(@yprime,xspan,y0).
Transcribed Image Text:3. a) Obtain the solution of the initial value problem d²y dx² - dy 1 dx. 2 + y = x y(1) = 3 dx (1) = -2 at x = 1.5 using the Modified Euler's Method (Midpoint Method) with a stepsize of 0.5. b) Set up the solution of the problem using the Matlab built-in program ode45(@yprime,xspan,y0).
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