Recent content by Fish Sauce

Thank you tiny-tim. I did not consider t as a constant relative to the s integral. But since t is considered a constant (since it is not a function of s) then I can see how it can be moved inside the integral. Thank you all for your help!

Hi tiny-tim and HallsofIvy, Thank you for the help. Following the advice, my solution now looks like this? Y(t)=-e^{2t}\int_{0}^{t}{e^{-2s}g(s)ds}+e^{3t}\int_{0}^{t}{e^{-3s}g(s)ds} Assuming the answer above is correct, how does this simplify to this form...

While that is possible, I don't think they used a LaPlace transform since that topic is not introduced until section 6 of the textbook and this problem is from section 3. Therefore, I'm still under the assumption that they are using the fundamental theorem of calculus to somehow simplify the...

Thank you LCKurtz. I thought I was overlooking a simple algebraic solution and was losing hair over this! Thanks again!

Homework Statement Greetings, I am having trouble understanding the solution to this DEQ equation. I am able to solve the equation using the variation of parameters technique, however, when it comes to simplifying the integral I am lost. It appears they are using the Fundamental Theorem of...

Solved: DEQ/Algebra Question Solve for t Homework Statement Greetings, I am having difficulty solving for t in the equation below. It is part of a DEQ question that asks at which time t does damped oscillation amplitude fall below a certain value. The relevant equation is below. My main...