Log in
Calculus
1
answer
0
watching
108
views
12 Nov 2019

show that the given equation is not exact but becomes exact when multiplied by the given integrating factor , then solve the equation . ((cosy+2e^(-x)cosx))/y *dy- (2e^(-x)siny/y *dx=0

Integrating factor ye^x

Watch
1
answer
0
watching
108
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Elin Hessel
Elin HesselLv2
28 Jul 2019

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related textbook solutions

Calculus
4 Edition,
Rogawski
ISBN: 9781319050733
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
CALCULUS:EARLY TRANSCENDENTALS
4 Edition,
Rogawski
ISBN: 9781319050740

Related questions

Show work please

Follow the six steps below to solve the following: xy' + 6xy =xe^(5x)


Step 1: REWRITE into standard form (y' + P(x)y + Q(x))



a) How does the given equation differ from standard form?



b) What can be done to put the given equation into standardform?





Step 2: IDENTIFY P(x) and Q(x).


a) Where does the standard form indicate P(x) and Q(x) arelocated?

P(x) =

Q(x) =





Step 3: DETERMINE the integrating factor (e^(?P(x) dx)). PlugP(x) as identified in step 2 into the integrating factor forme^(?P(x) dx) . Hint: Simplify e^(?P(x) dx) if possible




a) What is meant by the integrating factor?




b) If the integrating factor looks like e^(ln (x)) how could itbe simplified?





c) What about e^(1/2 ln (x))?





d) What about e^(-ln (x))?






?P(x) dx =




e^(?P(x) dx) =





Step 4: SUBSTITUTE Q(x) from step 2 and e^(?P(x) dx) from step 3into the solution form ye^(?P(x) dx) = ?Q(x)e^(?P(x) dx) + C.






Step 5: INTEGRATE the right side of the result of step 4. Hint:You may need to simplify and/or rewrite the right side before youattempt to integrate.






Step 6: SOLVE for y. To do this divide both sides by theintegrating factor. Remember that all parts of the right sideincluding the C must be divided by the integrating factor.






Solution is _________________________

given the function F(x,y)=(2e^y-ye^x+cos(2x)i + ( 2xe^y-e^x+4)j is a vector valued function that is exact. What is the value of the function such that gradient f = F vector. Show that f is exact.

Weekly leaderboard

Home
Homework Help 3,900,000
Calculus 630,000
Start filling in the gaps now
Log in