olve the following differential equation '= y sin(t), y(0) = 1, y:

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Problem 3.
Solve the following differential equation
y'= y sin(t), y(0) = 1,
by:
a) Euler's method using a C program (putty)
b) Runge-Kutta method using a C program (putty)
Use 0 ≤ t ≤ 1 and h = 0.1
Important: part a) and b) must be implemented in a single C program and must output a table
with four columns (i.e., values for t, Euler Method, Range-Kutta Method, and the exact
solution). The goal is to see how the values differ at each step.
Transcribed Image Text:Problem 3. Solve the following differential equation y'= y sin(t), y(0) = 1, by: a) Euler's method using a C program (putty) b) Runge-Kutta method using a C program (putty) Use 0 ≤ t ≤ 1 and h = 0.1 Important: part a) and b) must be implemented in a single C program and must output a table with four columns (i.e., values for t, Euler Method, Range-Kutta Method, and the exact solution). The goal is to see how the values differ at each step.
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