Homework 3.10. For the first order differential equation y' = y/t+t cos(t), with initial condition y(π/2) = π/2 show that the particular solution is y(t) = tsin(t). Then use Euler's method to compute the solution over the interval [π/2,3π/2] and determine the number of points n such that the numerical solution have 1. precision 1 digits 2. precision 2 digits

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Homework 3.10. For the first order differential equation y' = y/t+t cos(t),
with initial condition y(π/2) = π/2 show that the particular solution is y(t) =
tsin(t). Then use Euler's method to compute the solution over the interval
[T/2, 3/2] and determine the number of points n such that the numerical
solution have
1. precision 1 digits
2. precision 2 digits
Transcribed Image Text:Homework 3.10. For the first order differential equation y' = y/t+t cos(t), with initial condition y(π/2) = π/2 show that the particular solution is y(t) = tsin(t). Then use Euler's method to compute the solution over the interval [T/2, 3/2] and determine the number of points n such that the numerical solution have 1. precision 1 digits 2. precision 2 digits
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