A + b phrase describe the variable expression y + 8
As the sine rule states,
A/sina = B/sinb = C/sinc .
in the diagram, there are two identified sides and if you use the sine rule, you can find the opposed angles easily.
there are:
side a, with angle â .
side b, with angle b.
so the answer is C.
if you input these into the sine rule, it would be:
a/ sin a = b/sin b
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)
By multiplying the same numbers.
2*2=4 *4 square root is 2
3*3=9 *9 square root is 3
4*4=16 *16 square root is 4
5*5=25 *25 square root is 5
Try this, maybe it will work :)
