Answer:
1 and 2/4 I think
Step-by-step explanation:
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:
The first one is the answer to the question
<h3>
Answer:</h3>
0.86
<h3>
Step-by-step explanation:</h3>
The hundredths place is the second digit after the decimal point. It is the 6 in this case.
Since the next digit (3) is 4 or less, the hundredths place stays the same and the rest is basically just cut off, leaving 0.86.
If the next digit (3) were 5 or more, the hundredths place would have gone up 1 (to 7) and the rest would have been cut off, giving a final result of 0.87
