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Solving integral equations

  • #1

Homework Statement


Solve the following integrale equation by rewriting them as initial value problems:

y(x) = 2 + ∫(y(t))^2dt -this is a definite integral with limits from 1 to x


Homework Equations





The Attempt at a Solution



I am unsure how to approach this question at all because my textbooks did not cover this topic and I couldn't find any examples on the internet either. Thanks
 

Answers and Replies

  • #2
MarneMath
Education Advisor
549
198
Think about the fundamental theorem of calculus. I think it'll become clearer once you look it over.
 
  • #3
3,812
92
I am not sure what you are asking about. Can you explain what is the meaning of "rewriting them as initial value problems"?
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,770
911
Differentiate both sides of the equation! What is y(1)?
 

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