Step-by-step explanation:
here I have done you can check it out
X= 30/r is the answer because if you divide both sides by r you are left with x=30/r because you cant divide 30 by r
Answer:
x = 3
Step-by-step explanation:
Use distributive property: a(b +c) =(a*b) + (a*c)
3(x + 6) = 27
3*x + 3*6 = 27
3x + 18 = 27 {Subtract 18 from both sides}
3x + 18 -18 = 27 - 18
3x = 9 {Divide both sides by 3}
3x/3 = 9/3
x = 3
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)
