A community for students.
Here's the question you clicked on:
 0 viewing
ksaimouli
 3 years ago
differentiate
ksaimouli
 3 years ago
differentiate

This Question is Closed

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ dy }{ dx }=2xy\]

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2@ksaimouli \[\frac{dy}{dx}+y=2x\]

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0i tried to do this dw:1360374033568:dw

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}dy+\int\limits_{}^{}y= \int\limits_{}^{}2x dx\]

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2Can't do that, the y part has no dy in it, it won't make sense.

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2Well, start with\[\frac{dy}{dx}+y=2x\] and multiply everything by e^x

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2\[\large e^x\frac{dy}{dx}+e^xy=2xe^x\]

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2Now, question... what's \[\large \frac{d}{dx}ye^x\] ?

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2\[\large \frac{d}{dx}ye^x = e^x\frac{dy}{dx} + ye^{x}\]

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0i did not understant how did u get that ^

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2Implicit differentiation

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1360374611401:dw

ksaimouli
 3 years ago
Best ResponseYou've already chosen the best response.0hmm can u use implicit differentiation of function which is already differentiated

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2You can use it on any function, as far as I know :)

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2So, we end up with \[\large \frac{d(ye^x)}{dx}=2xe^x \]

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2so, just bring the dx on the other side... \[\large d(ye^x)=2xe^xdx\] And integrate both sides... \[\large ye^x = \int\limits_{}^{}2xe^x dx\] And you're good to go. :)

agent0smith
 3 years ago
Best ResponseYou've already chosen the best response.0@PeterPan I haven't done these in a while, but is it incorrect to just differentiate this to: \[\frac{ dy }{ dx }=2xy\]\[\frac{ d^2y }{ dx^2 }=2\frac{ dy }{ dx }\]\[\frac{ d^2y }{ dx^2 } + \frac{ dy }{ dx } =2\] All the original question said was: Differentiate:\[\frac{ dy }{ dx }=2xy\]

PeterPan
 3 years ago
Best ResponseYou've already chosen the best response.2I was wondering about that, but then again, ksaimouli put in "I tried to do this", with a drawing that shows an attempt to solve it as a differential equation, so.... yeah
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.