Question

Integrating factors... What do I use for my limits of my IF?

I'll post where I am currently at. Problem is to solve for C in terms of t from 0 to t.

Equation soon to come...

Answer 1

\[\int\limits_{0}^{t}d[Ce^{\int\limits_{}^{}{\frac{ 6 }{ 50+6t }dt}}]=\int\limits_{0}^{t}{\frac{ 6 }{ 50+6t }}e^{\int\limits_{}^{}{\frac{ 6 }{ 50+6t }dt}}dt\]

Answer 2

\[IF=e^{\int\limits\limits_{}^{}{\frac{ 6 }{ 50+6t }dt}}=e^{\ln{50+6t}}\]Right?

Answer 3

\[e^{\ln{50+6t}}=50+6t\]\[\int\limits\limits_{0}^{t}d[C(50+6t)]=\int\limits\limits_{0}^{t}{\frac{ 6 }{ 50+6t }}(50+6t)dt\]

Answer 4

@Zarkon @ganeshie8 @Luis_Rivera Anyone DE savvy and don't mind checking my setup steps?

Answer 5

\[C(t)=\frac{ 15t }{ 50+6t }\]

Answer 6

???

Answer 7

there is a typo... line (1) needs to be a 15 in the numerator of the right hand side