Solve for the general solution using the Power Series. The answers were already given, you just have to provide the solutions. TEST YOUR UNDERSTANDING! ANSWER KEY-Find the G.S. about xo = 0 for the following DE's1. (x²+4)y" + 2xy' - 12y = 0805Answer: y = a₁ + a₁x +29₁x²³ +(-1)k (k+1)3aox²k22k (2k-3)(2k-1)k=12. (1+x²)y" + 10xy' + 20y = 0Answer: y = a + a₁x +(−1)k (2k + 1)(2k + 3)(k+1)α₁x²k,3k=13. (x² + 4)y" + xy = x + 21-aoAnswer: y =a₁ + 2Laanx"=244872=0ao + a₁x + = x² +-x3(−1)k(k+ 1)(k+ 2)(2k + 3) a₁x²k+162-ao3202²x5

Since you have asked multiple question. According to our guidelines we will solve the first…

TEST YOUR UNDERSTANDING! ANSWER KEY- Find the G.S. about xo = 0 for the following DE's 1. (x²+4)y" + 2xy' - 12y = 0 5 Answer: y = a₁ + a₁x + 129₁x² + 2x2(x+1)34x2k (2k-3)(2k-1) k=1 2. (1+x²)y" + 10xy' + 20y = 0 (-1) (2k + 1)(2k + 3)(k+1) aox2k. (−1)k(k+ 1)(k+ 2)(2k + 3)a₂x²k+1 Answer: y = a + a₁x + 3 6 k=1 3. (x²+4)y" + xy = x+2 a₁ + Answer: y = -Σanx ao + a₁x 1-ao. 24 48 712=0 1 - 2-a 320 ²x² +. ***

TEST YOUR UNDERSTANDING! ANSWER KEY- Find the G.S. about xo = 0 for the following DE's 1. (x²+4)y" + 2xy' - 12y = 0 5 Answer: y = a₁ + a₁x + 129₁x² + 2x2(x+1)34x2k (2k-3)(2k-1) k=1 2. (1+x²)y" + 10xy' + 20y = 0 (-1) (2k + 1)(2k + 3)(k+1) aox2k. (−1)k(k+ 1)(k+ 2)(2k + 3)a₂x²k+1 Answer: y = a + a₁x + 3 6 k=1 3. (x²+4)y" + xy = x+2 a₁ + Answer: y = -Σanx ao + a₁x 1-ao. 24 48 712=0 1 - 2-a 320 ²x² +. ***

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...

See similar textbooks

Similar questions

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76 inches and x=10.52 inches. Compute t to 2 decimal places.
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x