Calculus Examples

Approximate Using Euler's Method
, , ,
Step 1
Define such that .
Step 2
Find .
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Substitute for and for .
Simplify.
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Replace with an approximation.
Raise to the power of .
Step 3
Use the recursive formula to find .
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Substitute.
Simplify.
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Multiply by .
Add and .
Step 4
Use the recursive formula to find .
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Substitute.
Add and .
Step 5
Find .
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Substitute for and for .
Simplify.
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Replace with an approximation.
Raise to the power of .
Step 6
Use the recursive formula to find .
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Substitute.
Simplify.
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Multiply by .
Add and .
Step 7
Use the recursive formula to find .
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Substitute.
Add and .
Step 8
Continue in the same manner until the desired values are approximated.
Step 9
List the approximations in a table.
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