Does anybody know, how to find the derivative of the F with respect to a? As far as I know the Leibnitz rule is only applicable, when the integration limits do not depend a. But what happens, when one of the limits is a function of a?
F(a,x)=\int ^{c+h(a)}_{c} f[g(a,x)] dx
Thank you so much!
Do you guys know if it's possible to solve for the following integral
l(t)=∫ {a+ [b+cL(t)+exp^L(t)]/d } dt
where a, b, c and d are constants and the derivative of L(t) is l(t).
Thanks in advance!
Thanks for replying Tim,
Ok let me tell you the whole story of my problem. The variable I would like to solve for is ψ(t), which is a co-state variable for the state variable L(t). ψ(t) has the meaning of what an additional increment of labour supply is worth for the future, because wage goes...
Hello,
I'm wondering if you could find a solution to the following differential equation
ψ'(t)=β((l(t))/(w[L(t)]))ψ(t)-β((l(t))/(w[L(t)]))
where L(t)=∫l(t)dt
β=((∂w)/(∂L(t)))
β is a constant
I've been tryint to find a solution for ages. Please help!