Question
Solve the seperable differential equation for U.
du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12
du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12
Answers
Damon
du/dt = e^5u * e^7t
du/e^5u = e^7t dt
e^-5u du = e^7t dt
(1/-5) e^-5u = (1/7) e^7t + C
7 e^-5u = -5 e^7t + c
when t = 0, u = 12
7 e^-60 = -5 + c
c = 5 +7/e^60 or c is about 5
7 e^-5u + 5 e^7t = 5
du/e^5u = e^7t dt
e^-5u du = e^7t dt
(1/-5) e^-5u = (1/7) e^7t + C
7 e^-5u = -5 e^7t + c
when t = 0, u = 12
7 e^-60 = -5 + c
c = 5 +7/e^60 or c is about 5
7 e^-5u + 5 e^7t = 5
Jay
Solve for u
-29 + -4 + 5u
-29 + -4 + 5u