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:
Slope = -5/8
Step-by-step explanation:
Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).
We are going to use the formula for finding the slope of a line now.
y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8
Slope = -5/8
Answer:
36.81233927
13.02532494
Step-by-step explanation:
You need to use the law of sine for both of them
the law of sine is as follows:
Question 1:
Question 2:
Let x= AB
Start by solving for the missing angle, 53
x= 13.02532494
I will leave you to round the answers
Answer:
last one i gussing
Step-by-step explanation:
The answer to this question should be: C. Kilometers
To answer this question, I will rearrange the option from the smallest unit into the highest unit.
Centimeter
Inch
Yards
Kilometer
Centimeter and inch are similar, they are mostly used for measure height of people or object. Yards is used for measuring a field area. Kilometer would be the biggest. It used for roads or expressing distance between city/country. So the answer should be kilometers
