given y= ln(1/3)(1-e^(-2x)), show that dy/dx=(2/3)(e^(-y))-2

Show me the working please ..
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

y=ln(⅓(1-e-2x)), so ey=⅓(1-e-2x), and eydy/dx=⅔e-2x, 

dy/dx=⅔e-2x-y, or ⅔e-y-2x. Is this what was intended?

by Top Rated User (1.1m points)

Related questions

1 answer
Show that Y=ln|cos3/cosx|+5 is the solution to the initial value problem dy/dx=tanx, f(3)=5
asked Feb 25, 2019 in Calculus Answers by rubicube Level 1 User (160 points) | 1.2k views
1 answer
solve dy/dx-y=e^x/x given that y(e)=0
asked Mar 11, 2016 in Calculus Answers by anonymous | 834 views
9 answers
x^y=e^x-y , prove that dy/dx=lnx/(1+lnx)^2
asked Jan 25, 2014 in Calculus Answers by Jennifer A. Cascaño Level 12 User (101k points) | 1.5k views
1 answer
If y=e^(ax)cos^3xsin^2x find dy/dx
asked May 12, 2013 in Calculus Answers by anonymous | 932 views
1 answer
Show that ∫ 7x-x^2 dx / (2-x)(1+x^2) = 7/2 ln 2-π/4
asked Apr 18, 2013 in Calculus Answers by anonymous | 664 views
1 answer
show that (1-x^2)dy/dx+y=0
asked Jun 22, 2017 in Calculus Answers by Poulami | 649 views
1 answer
y=tan(2tan^-1x/2) show that dy/dx=4(1+y^2)/4+x^2
asked Jan 19, 2013 in Calculus Answers by anonymous | 1.9k views
1 answer
if y= e^ax • cos^3x • sin^2x find dy/dx
asked Feb 28, 2015 in Pre-Algebra Answers by lovelymath Level 2 User (1.9k points) | 939 views
34 answers
solve: dy/dx+4xy=e^-2x & y(0)=1
asked Jan 19, 2014 in Algebra 2 Answers by Jennifer A. Cascaño Level 12 User (101k points) | 3.3k views
1 answer
solve D.E. dy/dx +y/x =y^2sin(x)
asked Aug 17, 2013 in Calculus Answers by karmveer Level 1 User (120 points) | 551 views
11 answers
If y=e^(ax)cos^3 x sin^2 x find dy/dx
asked May 31, 2013 in Calculus Answers by anonymous | 2.2k views
8 answers
x^y=e^x-y prove dy/dx=lnx/(1+lnx)^2
asked Jan 19, 2013 in Calculus Answers by anonymous | 1.5k views
1 answer
Show that (1-x^2)dy/dx+y0
asked Sep 5, 2017 in Calculus Answers by Paula | 581 views
1 answer
given that y=x^3+2 . find dy/dx when y=3 .
asked Sep 17, 2013 in Calculus Answers by mermaid_raid Level 1 User (120 points) | 730 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. complete the following. 825 use each digit once .make the two smallest 3 digit numbers and two largest 3-digit number (2)
  4. Solve 15 -1(12÷4+1)? (4)
  5. 8:4(5+2) (3)

Most popular tags

87,551 questions
99,638 answers
2,417 comments
445,057 users