Find the general solution of the given differential equation. x dy dx − y = x2 sin(x) y(x) = cx−xcos(x) correct: your answer is correct. give the largest interval over which the general solution is defined. (think about the implications of any singular points. enter your answer using interval notation.) incorrect: your answer is incorrect. determine whether there are any transient terms in the general solution. (enter the transient terms as a comma-separated list; if there are none, enter none.)

Note that in order to do this division, we cannot allow . This means the largest interval on which a solution can exist is either or .

If is a solution to the ODE, then any term that vanishes as (or , depending on which interval above is used) is a transient term.

Solve the ODE:

As , will oscillate between -1 and 1, so will oscillate between and , so the limit of as does not exists. There are no transient terms.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

c

step-by-step explanation:

i think because what else can be a sample of every member