Calculus 6.08b - Differential Equation Example

[AncientTypePashton]

Thanks alot, very useful

[12thando34]

oh my gosh i knw everything!!!!!!!!

[dttornado]

Sometime You Sound Like George Bush

[Mike01010011]

Thank you very much.

[corvette4554]

do u know a site that have mathematics for college ( mathematical economics )

and( quantitative analysis )

[derekowens]

@corvette4554 You might try khanacademy. They have a lot of material, including economics.

[ghgjftythnhcfghdty]

nice tutorial, thanks. One question... when integrating the expression 1/p =k.dt, shouldn't the result on the left hand side be ln(p)+C ? I don't understand why there is no constant of integration on the left? Anyone help me out?

[derekowens]

@ghgjftythnhcfghdty Try thinking of it this way: Yes, you can have a constant of integration on the right, and also one on the left. These are both unknown constants, so you could just algebraically subtract the left side value from both sides, leaving you with an unknown constant only on the right. Since it's an unknown constant, just call it C. So an unknown constant on the left and the right is essentially the same as an unknown constant on one side, and that's typically how we write it

[avlayort2]

thankyou. my teacher was terrible with explaining how population growth is related to differential equations. this video made things exponentially more concise.

[drummerboy0777]

Ha this was the same problem on my practive test. Thank you :)

[pissedoffdude1]

Thanks for the vid. Your explanation of exponential growth was very clear.