Answer:
You're correct!
Step-by-step explanation:
Answer:
Part A: 3 3/4 Part B: 5 1/4
Step-by-step explanation:
Part A: 3/4x5=3 3/4
Part B: 3 3/4 +1 2/4=5 1/4
No there totally differnt
Acrimewave is the answer.
Answer:
R1= 10.04
R2=10
Step-by-step explanation:
The differential equation is given by:
![(x^2 - 2x + 26)y'' + xy' - 4y = 0](https://tex.z-dn.net/?f=%28x%5E2%20-%202x%20%2B%2026%29y%27%27%20%2B%20xy%27%20-%204y%20%3D%200)
The minimum radius of convergence is given by the distance from the point x=a, to the nearest singularity points of the differential equation.
The singularity points are the roots of the polynomial that multiplies the second derivative of y. Thus, you have:
![x^2 - 2x + 26=0\\\\x_{1,2}=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(26)}}{2}=1\pm 10i](https://tex.z-dn.net/?f=x%5E2%20-%202x%20%2B%2026%3D0%5C%5C%5C%5Cx_%7B1%2C2%7D%3D%5Cfrac%7B-%28-2%29%5Cpm%20%5Csqrt%7B%28-2%29%5E2-4%281%29%2826%29%7D%7D%7B2%7D%3D1%5Cpm%2010i)
the roots are in the complex plane. The radius of convergence is the distance between the points z1=0+0i, z2=1+0i (x=0 and x=1, respectively), in the complex plane, that is:
![R_1=|z_1-x_1|=\sqrt{1^2+10^2}=\sqrt{101}=10.04\\\\R_2=|z_2-x_1|=\sqrt{0^2+10^2}=\sqrt{100}=10](https://tex.z-dn.net/?f=R_1%3D%7Cz_1-x_1%7C%3D%5Csqrt%7B1%5E2%2B10%5E2%7D%3D%5Csqrt%7B101%7D%3D10.04%5C%5C%5C%5CR_2%3D%7Cz_2-x_1%7C%3D%5Csqrt%7B0%5E2%2B10%5E2%7D%3D%5Csqrt%7B100%7D%3D10)