Help with this question pls

[frigid gulch]

a = dv/dt

adt = dv

at + c = v , right?

[balmy flare]

that approach requires a to be constant

$v = \int a dt$ is the same thing as $a = \odv vt$, but the second one is more useful here

[hard spruce]

pnoןɔ

[balmy flare]

if you've learned the integrating factor method, that would be a good approach here

[hardy flare]

yh i know, but is there no way to do it using the integral?

[balmy flare]

the integral approach only works if a is not a function of v

[hardy flare]

why?