The general solution to the differential equation tv' + v = 0 is v(t) = c/t, as stated in the textbook. The user attempted to solve it by rewriting it as v' + (1/t)v = 0 and calculating an integrating factor, but this approach is incorrect. Instead, the correct method involves recognizing that the equation is separable and integrating both sides after rearranging the terms. The integrating factor method is not the appropriate technique for finding the solution in this case.
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This isn't right. What you're doing by calculating ##e^{\int p(t)\,dt}## is finding an integrating factor, not the solution to the differential equation. Check your textbook to see what you're supposed to do with this factor.fufufu said:Homework Statement
What is the general solution of tv' + v = 0?
book says it is v(t) = c/t but i don't see how
i tried to solve like this:
v' + (1/t)v = 0
p(t) = 1/t
P(t) = Ln(t)
y = e^ln(t) + c