Posted by **Kody** on Saturday, August 27, 2011 at 1:55pm.

Solve the seperable differential equation for U.

du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12

- Differential Equations -
**Damon**, Saturday, August 27, 2011 at 3:05pm
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

- Algebra -
**Jay**, Tuesday, July 10, 2012 at 7:44pm
Solve for u

-29 + -4 + 5u

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