Answer:
x = 10, y = 0
Step-by-step explanation:
x + y = 10 ---> x = 10 - y
3x + 2y = 30
3 (10 - y) + 2y = 30
30 - 3y + 2y = 30
y = 0
x + 0 = 10
x = 10
Answer:
Step-by-step explanation:
x₁ = 0 ; y₁=0 &
x₂ = 1 ; y₂=2
Slope =
Slope = 2
<h2>
Answer: 8</h2>
Step-by-step explanation:
Therefore, Mel has to work at least 7.5 hours or 8 total hours.
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)
It is 6 sq. units. I hope you do well. Have a wonderful day.
