Answer:
1 7/8
Step-by-step explanation:
2 5/8
+1 7/8= 4 1/2
- 7=3+4
- 5+3=8
- 2 5/8 + 3/8= 3
- 3 + 1= 4
- 4 + 4/8= 4 4/8
- 4 4/8 = 4 1/2
Answer:
t = 9
Step-by-step explanation:
Answer:
13 +13 +14 ensures he is getting the smallest amount so its 14
Step-by-step explanation:
15:15
Which is simplified to
1:1
Hope this helps!
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
