Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate integrating factor. y(6x y 6) dx (6x 2y) dy

which implies that C is the integrating factor

Step-by-step explanation:

The correct format for the equation given is:

By the application of the general differential equation:

⇒ Mdx + Ndy = 0

where:

M = 6xy+y²+6y

and

N = 6x +2y

∴

f(x) = 1

Now, the integrating factor can be computed as:

the integrating factor =

From the given equation:

Let us multiply the above given equation by the integrating factor:

i.e.

By rearrangement:

Let assume that:

and:

Then:

By integration:

which implies that C is the integrating factor

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

step-by-step explanation: it is d