Let
. Then


and substituting these into the ODE gives



Let
, so that
. Then the ODE is linear in
, with

Multiply both sides by
, so that the left side can be condensed as the derivative of a product:

Integrating both sides and solving for
gives

Integrate again to solve for
:

and finally, solve for
by multiplying both sides by
:

already accounts for the
term in this solution, so the other independent solution is
.
Answer:
you know you can ask the question online right...
Step-by-step explanation:
When we multiply or divide the same base with exponents we add or subtract, so for that to work the 0th power has to equal 1
Answer:
$12
Step-by-step explanation:
Hi there!
What we know:
- Brooklyn bought 8 bags of dog food
- Brooklyn also used a $5 coupon
- The total was $91
Therefore, 8 × (cost of 1 bag) - 5 = 91
Form an equation with x as the cost of 1 bag of dog food:
8 × (cost of 1 bag) - 5 = 91

Add 5 to both sides

Divide both sides by 8

Therefore, 1 bag of dog food costs $12.
I hope this helps!