Question

Differential equations? Calculus? Help?

solve the differential equation.
f'(s)=6s-8s^3, f(2)=3

Answer 1

integrate f'(s) and the solve for c

Answer 2

pretty much ^

Answer 3

I don't know how to. Could you please help me?

Answer 4

Are you in the differential equations course that has the calculus sequence as a prerequisite?

Answer 5

No. I am taking calculus, so I have to do the calculus part

Answer 6

power rule

Answer 7

ok, so you'll want to integrate using the rules x^(n+1)/(n+1)

Answer 8

power rule for integration

Answer 9

add one to the exponent, and then divide by the resuilting number

Answer 10

6^1+1/1+1

Answer 11

and -8^(3+1)/(3+1)

Answer 12

correct?

Answer 13

int 6sds = (6s^2)/2 = 3s^2

Answer 14

ok

Answer 15

was the second one right?

Answer 16

or is it (-8s^3)/3 = -2.6s^3 ?

Answer 17

@Rouault

Answer 18

please help me

Answer 19

@shamil98

Answer 20

-2s^4

Answer 21

add one to the exponent and divide by the resulting number

Answer 22

oh right. I'm sorry I didn't read that properly

Answer 23

ok so now it sets up like this: 3s^2 - 2s^4

Answer 24

3s^2 - 2s^4 + C

Answer 25

right

Answer 26

now what do I do?

Answer 27

@Rouault

Answer 28

So for s = 2 and f(s) = 3 solve for C

Answer 29

C= 23 ?

Answer 30

yep

Answer 31

thats it right?

Answer 32

Can I post one more of these and you could help me please?

Answer 33

thank you so much for your help, I'll tag you in the other maybe you can help me