4. Consider the following two ODES y(t) = f(y). y(0) = 0. (t)=yf(y,t), y(0) = 0. with f sufficiently smooth. (1) For the second ODE, find a global solution. (2) Write down the Euler, improved Euler for this ODE with step size k, i.e. how to update 3+1 at time fa+1 (n+1)k from yn-
4. Consider the following two ODES y(t) = f(y). y(0) = 0. (t)=yf(y,t), y(0) = 0. with f sufficiently smooth. (1) For the second ODE, find a global solution. (2) Write down the Euler, improved Euler for this ODE with step size k, i.e. how to update 3+1 at time fa+1 (n+1)k from yn-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Consider the following two ODES
y(t) = f(y). y(0) = 0.
u(t)=f(y,t),
d
y(0) = 0.
with f sufficiently smooth.
(1) For the second ODE, find a global solution.
(2) Write down the Euler, improved Euler for this ODE with step size k, i.e. how to update
3+1 at time tn+1 = (n+1)k from yn
4
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