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:
Piper traveled 115 miles for 6 hours.
Step-by-step explanation:
We just add the amount of distance that Piper traveled together, so "55+60 = 115 miles" and then we add the amount of time it took to travel that distance. So "3.5 + 2.5 = 6 hours".
Answer: 29 weeks
Step-by-step explanation:
From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:
= 24 × 3
= 72 cookies
The number of weeks that would take her to bake 2,088 cookies will be:
= 2088 / 72
= 29 weeks
I'm not sure exactly what it is but it would be a negitive
The answer to this is 1080
