The next step would be 10n=5x-7+9-x
sincerely- brock<span />
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)
19 minutes I think just divide 323 and 17
The number in parenthesis after f is the x coordinate. Basically, it says which y coordinate is tied with an x value. In choice a, it says that when x is 0 y is 3, etc.
So, you can look at the graph to see which answer choice has a point from the graph. Choice a says (0,3), and that does not match. Choice b says (5,-1) and that does match. So the answer is B.
*(x,y)*
False, it would equal the nonzero integer
any nonzero integer MULTIPLIED by zero would equal zero
