Solving an Initial value problem by using Taylor's method
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Use Taylor's method with h = 0.05 to approximate the solution, and compare it with, actual values of y.
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(5.3)
6. Given the initial-value problem
, ,
with exact solution :
a. Use Taylor's method with h = 0.05 to approximate the solution, and compare it with, actual values of .
b. Use the answers generated in part (a) and linear interpolation to approximate the following values of , and compare them to the actual values.
i.
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Solution Summary
The expert solves an initial value problem by using Taylor's methods. Linear interpolation generated are examined.
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Please see the attached file.
(5.3)
6. Given the initial-value problem
, ,
with exact solution :
a. Use Taylor's method with h = 0.05 to approximate the solution, and compare it with, actual values of .
Let y' be d1 and it is given as;
for higher order taylor method we need second derivative of y. since y is a function of t we need to use chain rule to find y". Lets call y" as d2;
y"=d2
Note that we have y' already
...
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