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)
So the transversal (line that crosses lines a and b) is 180 since its a straight line. given the angle degree 125, you can do 180-125 to get angle m.
They will be 170 pounds by the end of the year. 5% of 100 would be 5 so 5% of 200 is half of 5 which is 2.5. 2.5 times 12 will get you 30. 200-30 is 170
Answer:170
Answer:
Town B is 1.98 times greater than town A.
Step-by-step explanation:
A= 4 times 104 = 416
B= 2 times 105 = 210
416 divided by 210 = 1.98
