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
X + x = 2
1 × 5 = 5
So it would be blank plus blank gives you x=2
Then blank times blank gives you x=5
Answer: S=28
Step-by-step explanation:
Answer:
$1307.69
Step-by-step explanation:
Let the original investment be x.
Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.
Equation:
130%x - 200 = 1500
(130/100)x = 1700
x = 1700(100/130) = $1307.69
I hope this helps! :)
