m******g
发帖数: 2 | 1 THE EQUATION IS
A*\EXP(B*T)+C*\EXP(D*T)=E
WHERE A, B, C, D AND E ARE CONST. T IS A VARIABLE. | f*******h
发帖数: 1269 | 2 Let x = exp(BT).
Then you will get an equation:
x = C1 - C2*X**(d/b)
(constant omitted)
Then just select an intial value and iterate until it converges.
【在 m******g 的大作中提到】
: THE EQUATION IS
: A*\EXP(B*T)+C*\EXP(D*T)=E
: WHERE A, B, C, D AND E ARE CONST. T IS A VARIABLE.
| m******g
发帖数: 2 | 3 No closed solution?
【在 f*******h 的大作中提到】
: Let x = exp(BT).
: Then you will get an equation:
: x = C1 - C2*X**(d/b)
: (constant omitted)
: Then just select an intial value and iterate until it converges.
| g********g
发帖数: 11 | 4 In general, no.
It is known that there's no closed form solution for equations with order
greater or equal than 5 (or 6?), so when d/b >5, no closed form.
【在 m******g 的大作中提到】
: No closed solution?
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