Recent content by themurgesh

this is what i have:for n=0, \int_{0}^{1}\left(1-x\right)^{0}*e^{x}\, dx = e-1 for n=1, \int_{0}^{1}\left(1-x\right)^{1}*e^{x}\, dx = e-2 for n=2, \int_{0}^{1}\left(1-x\right)^{2}*e^{x}\, dx = 2e-5 for n=3, \int_{0}^{1}\left(1-x\right)^{3}*e^{x}\, dx = 6e-16 for n=4...

Re: Differential equation problem Sorry. I should have posted the original DE before $$P'_{02}(t)+(\lambda_3+\mu_3)P_{02}(t)=P_{01}(t) \lambda_2$$ and then I used integrating factor $$e^{\int_0^t (\lambda_3+\mu_3) dt}$$ and arrive at the equation $$\dfrac{d}{dt} [P_{02}(t) \cdot...

Re: Differential equation problem sorry.. i had some latex errors.. i hope you can see the question now.

Hello, I am solving an equation using integrating factor. I have come up to a specific point which is $$\dfrac{d}{dt} P_{02}(t) \cdot e^{(\lambda_3+\mu_3)t}=\lambda_2 \cdot P_{01}(t) \cdot e^{(\lambda_3+\mu_3)t}$$ from the previous equation, I have found $$P_{01}(t)=\lambda_1 \int_0^t...