4 edited tags | link edited Jun 10 '17 at 14:17 xzczd 29.5k66 gold badges8383 silver badges273273 bronze badges 3 replaced http://mathematica.stackexchange.com/ with https://mathematica.stackexchange.com/ edited Apr 13 '17 at 12:55 Note 3: I also tried LaplaceTransform, but it is obvious that this equation does nto has a closed form solution, like this problemthis problem Note 3: I also tried LaplaceTransform, but it is obvious that this equation does nto has a closed form solution, like this problem Note 3: I also tried LaplaceTransform, but it is obvious that this equation does nto has a closed form solution, like this problem Bumped by Community user occurred Aug 6 '16 at 21:29 Bumped by Community user occurred Jul 7 '16 at 20:34 Bumped by Community user occurred Jun 7 '16 at 19:56 Bumped by Community user occurred May 8 '16 at 19:25 Tweeted twitter.com/StackMma/status/653484969738809344 occurred Oct 12 '15 at 8:18 2 added 13 characters in body edited Feb 13 '15 at 10:58 Enter 63155 silver badges1616 bronze badges Note 1: In every time step, I want to determine $$\lambda(t)$$ numerically using \[Lambda][t_Real], where lies the problem. It is well known that when NDSolve uses (N)Integrate internally, we will suffer from such kind of difficult very often. However, the equation I want to solve contain parameter $$\lambda(t)$$ found by integrating a function of the intermediate solution of my NDSlove. Fortunately, the NIntegrate does not involve t variable, which can be regarded as the average value of $${dV \over dh}$$. I believe this point causes these problems. I'm not sure whether I have some other mistakes. Any ideas? Also any suggestionssuggestion for code improvements areis more than welcome! Note 1: In every time step, I want to determine $$\lambda(t)$$ numerically using \[Lambda][t_Real], where lies the problem. It is well known that when NDSolve uses (N)Integrate internally, we will suffer from such kind of difficult very often. However, the equation I want to solve contain parameter $$\lambda(t)$$ found by integrating a function of the solution of my NDSlove. Fortunately, the NIntegrate does not involve t variable, which can be regarded as the average value of $${dV \over dh}$$. I believe this point causes these problems. I'm not sure whether I have some other mistakes. Any ideas? Also any suggestions for code improvements are more than welcome! Note 1: In every time step, I want to determine $$\lambda(t)$$ numerically using \[Lambda][t_Real], where lies the problem. It is well known that when NDSolve uses (N)Integrate internally, we will suffer from such kind of difficult very often. However, the equation I want to solve contain parameter $$\lambda(t)$$ found by integrating a function of the intermediate solution of my NDSlove. Fortunately, the NIntegrate does not involve t variable, which can be regarded as the average value of $${dV \over dh}$$. I believe this point causes these problems. I'm not sure whether I have some other mistakes. Any ideas? Also any suggestion for code improvements is more than welcome! 1 asked Feb 13 '15 at 10:52 Enter 63155 silver badges1616 bronze badges