If f'(x)=-f(x) and f(1)=1, find f(x). Answer: e^(1-x) Please show all the work. 4/15/2014 | Sun from Los Angeles, CA | 1 Answer | 0 Votes Mark favorite Subscribe Comment
df/dx=-f, df/f=-dx, integrating both sides ln(f)=-x +c, at x=1 f(1)=1 so c=1, ln(f)=-x+1, and f(x)=e^{(1-x)} Jim 4/15/2014 | Jim S. Comment Comments Thanks. 4/15/2014 | Sun from Los Angeles, CA Comment
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