Homework SourseConsider the differential equation 5 3 e 5 points Use y
Consider the differential equation
????/???? = 5 ? 3??
(e) ( 5 points ) Use your answer from the previous part to find the solution corresponding to
initial condition ??(0) = 3.
????/???? = 5 ? 3??
(e) ( 5 points ) Use your answer from the previous part to find the solution corresponding to
initial condition ??(0) = 3.
Solution
-1/3 log(5-3y) = t + c 5 - 3y = e^(-3*(t+c)) y = 1/3 (5 - e^(-3*(t+c))) so, y(0) = 3 -1/3 log (4) = c solution wil be -1/3 log|(5-3y)| = t -1/3 log (4)
