Recent content by Economist2008

  1. E

    Undergrad How to Apply Leibnitz Rule When Integration Limits Depend on a Variable?

    Ups, the books I looked at didn't cover this case. Thank you very much!
  2. E

    Undergrad How to Apply Leibnitz Rule When Integration Limits Depend on a Variable?

    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!
  3. E

    Solving for Integral with Partial Differentiation

    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!
  4. E

    Graduate Solving Differential Equation: ψ'(t)=β((l(t))/(w[L(t)]))ψ(t)

    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...
  5. E

    Graduate Solving Differential Equation: ψ'(t)=β((l(t))/(w[L(t)]))ψ(t)

    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!