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)
For the answer to the question above,
<span>the angle of 360 ° → π.d </span>
<span>the angle of x ° → 8π </span>
<span>You make the cross-multiply and you can get: </span>
<span>x * π.d = 8π * 360 </span>
<span>x * d = 8 * 360 </span>
<span>x = 8 * 360/d → where d = 2r </span>
<span>x = 8 * 360/2r </span>
<span>x = 4 * 360/r → where r = 4.5 cm </span>
<span>x = 4 * 360/4.5 </span>
<span>x = 320 °</span>
48000 ounces is the weight of the hippo
Answer:
W = X in.
L = (3x - 6) in.
A = L*W = (3x-6)X = 45,
3x^2 - 6x = 45
3x(x-2) = 45,
x(x-2) = 15,
x^2 - 2x - 15 = 0
(x-5)(x+3) = 0,
x-5 = 0,
x = 5 in.
x+3 = 0,
x = -3.
Solution Set: x = 5, and x = -3.
Select + value of X:
x = 5
W = x = 5 in.
L = 3x-6 = 3*5 - 6 = 9 in.
Step-by-step explanation:
Answer:
I'm going to assume that the question was $1.99 × 10 because $1.99 $1.99; × 10 is not possible, so if that was the question, the answer would simply be false. The answer I got for $1.99 × 10 was 19.9
Answer: 19.9
