Solve equation that includes integral with variable upper limit.
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quadgk((1./(1000.*sqrt(2.*pi))).*(y-x-100).*exp(-((x-150).^2)./200),y-200,y-100)+quadgk((1./(10.*sqrt(2.*pi))).*(exp(-((x-150).^2)./200)),-inf,y-200)=0.53
How to solve the above equation? I want know the value of y.
I can not use fzero function. Please help me. Thanks!
3 个评论
Walter Roberson
2017-1-25
Are there any other functions that you are not permitted to use besides fzero()?
Are you permitted to use the symbolic toolbox?
Your reference to quadgk suggests that you are using an older version of MATLAB. Which release are you using?
Daniel Bridges
2017-1-26
GUO ZHONG
2017-1-26
采纳的回答
Walter Roberson
2017-1-26
FUN = @(Y)arrayfun(@(y)quadgk(@(x)(1./(1000.*sqrt(2.*pi))).*(y-x-100).*exp(-((x-150).^2)./200),y-200,y-100)+quadgk(@(x)(1./(10.*sqrt(2.*pi))).*(exp(-((x-150).^2)./200)),-inf,y-200),Y)
Now find the zeros of FUN - 0.53
Be careful, though: there gets to be a lot of numeric error beyond about 750.
3 个评论
GUO ZHONG
2017-1-26
Weijian Yan
2018-5-31
How did you get the result? Can you show us some detail steps?Thank you!
Walter Roberson
2018-6-3
Weijian Yan, are you not permitted to use fzero() either, the way the original poster was not permitted for unknown reasons?
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