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Graduate Relationship between two solutions
HallsofIvy, I meant for g(x) to depend on x and t. You should think of t as being a large constant, say, t=10^{10} .- Milligram
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- Forum: Differential Equations
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M
Graduate Relationship between two solutions
Let t \in \mathbb{R} be large. Let f be a function over [0,t] satisfying f(0) = 1 and f'(x) = e^{-f(x)} for all x. Let g be a function over [0,t] satisfying g(0) = 1 and g'(x) = (1 - g(x)/t^2)^{t^2} for all x. Note that g'(x) \sim e^{-g(x)}. Without solving the two...- Milligram
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- Relationship
- Replies: 2
- Forum: Differential Equations