AP Calculus Growth and Decay

[languid radish]

I don't understand what it's asking for.....

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[languid radish]

zzz

[rose comet]

Let’s start with 4

What did you write down as your differential equation

Actually let’s start with 3a

I disagree with your integral of 1/3y

Try differentiating ln(3y) with respects to y

@languid radish

[languid radish]

wdym

[rose comet]

I disagree with this step

If you differentiate ln(3y) you don’t get back to 1/3y

[languid radish]

then what should i put there

[rose comet]

1/3 ln(x)

[rose comet]

Sorry the lnx is not on the bottom

$\frac{1}{3} ln|x|$

[feral tulip]

CBrocks294

[rose comet]

Times through by 3 then exponentiate both sides

[rose comet]

Why over 3?

[languid radish]

Because I need to isolate Y

with natural log

[rose comet]

We need to * both sides by 3

[languid radish]

this is how my teacher does these

[rose comet]

Nono that’s fine

But it’s lny = 3kx +C

[rose comet]

Yep

Seems good

And if you want you can say
y= e^(3kx+C)
y=A(e^3kx)

What workings have you got for 4?

[languid radish]

so turns out

there's no k

for the problem

[rose comet]

Oh wild

Oh ye lol the question doesn’t say directly proportional oops

[languid radish]

lets see for number 4

[languid radish]

this one is weird

[rose comet]

Can you show working

[languid radish]

i dont know how to solve this equation

i need to figure out number 4 first

[rose comet]

Do you have any working

[languid radish]

nvm i solved it

for number 4