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Loopas
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Homework Statement
[itex]\frac{du}{dt}[/itex] = [itex]e^{5u + 7t}[/itex]
Solve the separable differential equation for u:
Use the following initial condition: u(0) = 6.
The Attempt at a Solution
I tried to take the natural log of each side but now I'm stuck. How can I separate the equation when both the u and t terms are an exponent? And how can I use u(0) = 6? Sorry if I'm clueless, I missed a bunch of lectures on separable differential equations.