Answer:
Scatter plot
Step-by-step explanation:
Answer is 5
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)
Answer:
m=5/2
Step-by-step explanation:
just did
Answer:
Width = 2x²
Length = 10
Step-by-step explanation:
The greatest common monomial factor of 14x² and 6x² is 2x² so the width is 2x².
Width = 2x²
Length = (14x² ÷ 2x²) + (6x² ÷ 2x²)
= 7 + 3
= 10
