Email
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

Solve : $\log \bigg(\large\frac{1}{x}.\frac{dy}{dx}\bigg)$$=2x+5y$

$(a)\;e^{5y}=e^{2x}-x+c \\ (b)\;e^{-5y}=1+2x+x \\ (c)\;e^{-5y}=\frac{5}{2}(e^{2x}-x-2^{2x})+c\\ (d)\;e^{-5y}=5e^{2x}(1-ex)+c $

1 Answer

Comment
A)
$\large\frac{1}{x}.\frac{dy}{dx}$$=e^{2x}.e^{5y}$
$\large\frac{dy}{e^{5y}}$$=x.e^{2x}dx$
$\large\frac{-e^{-5y}}{5}=\frac{x.e^{2x}}{2}-\frac{2^{2x}}{2}$
$e^{-5y}=\large\frac{5}{2} $$(e^{2x}-x.e^{2x})$
Hence c is the correct answer.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
...