Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
Answer:
Step-by-step explanation:
Width of the room in the drawing = x
1 : 3 :: x : 18
Product of means = Product of extremes
3 * x = 18 *1
x = 18 ÷ 3
x = 6
Width of the room in the drawing = 6 inches
The answer to this question would be: 6
In this question, you are asked to estimate 90/7 divided by (1 + 3/4). You can convert the 1 3/4 into :
1 +3/4=
4/4 + 3/4= 7/4
Then, the calculation would be:
(90/7) / (7/4)= (90*4)/ (7*7)= 7.347
The distance from 7.347 to 6 would be -1.347. It was much shorter than the distance to 12 which is 4.7. The closest answer would be 6
Answer:
Decreasing
Step-by-step explanation:
If I started at the y point and follow the graph line. Then you will see that I will be going down the graph.
Hope this helped
$107.437 If instructor requests rounding, round it to $107.44