Answer:
y(x) = c_1 e^(-1/(2 x^2))
Step-by-step explanation:
Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:
Solve for (dy(x))/(dx):
(dy(x))/(dx) = y(x)/x^3
Divide both sides by y(x):
((dy(x))/(dx))/y(x) = 1/x^3
Integrate both sides with respect to x:
integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx
Evaluate the integrals:
log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.
Solve for y(x):
y(x) = e^(-1/(2 x^2) + c_1)
Simplify the arbitrary constants:
Answer: y(x) = c_1 e^(-1/(2 x^2))
So first in a separate sheet of paper you have to look for how many members of fam and friends does Kimberly have. Then write down the amount of money she has in total.
Then subtract 120-36 cause she buys the book.
Which equals. 84
Then you have to subtract 84 from what I said at the beginning
Answer:
Beaker: $3, Goggles: $7
Step-by-step explanation:
Answer:
y=2/-1+8
Step-by-step explanation:
- -4= (-4,0) -4=x1 0=y1, 8= (0,8) 0=x2 8=y2
- formula is, y2-y1/x2-x1
- 8-0/0-4=8/-4=4/-2= 2/-1
- 2/-1 is the slope or (m), use (-4,0) or (0,8) i used (0,8) because its easier.
- (0,8), 0=x1 8=y1
- formula is y-y1=m(x-x1)
- y-8=2/-1(x-0) ---->distribute
- y-8=2/-1x-0 --->get y alone
+8 +8
- so the answer is y=2/-1+8
