Answer:
5 gallons
Step-by-step explanation:
3/4 + 6/8 + 20/8 + 1
6/8 + 6/8 + 20/8 + 8/8
40/8 = 5 gallons
Answer:
x=1
y=1
Step-by-step explanation:
-3x+4=3x-2
-3x+3x+4=3x+3x-2
4=6x-2
4+2=6x-2+2
6=6x
x=1
y=3(1)-2
y=1
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
