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:
$9.75
Step-by-step explanation:
$3.90 per yard
So $3.90 for 1 yard = $3.90
$3.90 for 2nd yard =$3.90
1/2 of $3.90 for 1/2 yard so $3.90/2 = $1.95
$3.90
$3.90
+ <u>$1.95</u>
$9.75
Answer:
2 hours and 5 minutes
Step-by-step explanation:
6:30 --> 8:30 is two hours
plus 5 minutes
Answer:
(-5,-1)
Step-by-step explanation:
The City Park is in Quadrant 3, and the only coordinates that are also in Quadrant 3 are (-5,-1)
~theLocoCoco