Answer:
ABD = 40, CD = 143, X = 43.5, AB = 140, BC = 126
Sorry I'm in a hurry right now so I can't give explanations but I hope this helps!
+2,+2,+2,-2,-2,-2,+2,+2,+2 etc
15p^2-11p-14 is the product
Answer:
Answer- 0
Step-by-step explanation:
2+2+2-2+4-8= 4-2+4-8=0
hope this helps :)
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)
