22. If {1, e², xe²} is a basis of solutions of y"" + ay" + by' + cy = 0,Chen b =(a) 2(b) -2-4(d) 4(e) 0

We can start by substituting the basis functions into the differential equation and solving for a,…

Answered: If {1, e²x, xe²*} is a basis of…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

See similar textbooks

Similar questions

Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
If (, a) is a basis of solutions of x'y"+ axy' + by = 0, then a= (A) -2 (В) 2 (C) -3 (D) 3 (E) None
If {e², e-², e2=} is a basis of solutions of y" + ay" + by + cy = 0, then c= (A) -1 (В) -2 (C) 2 (D) 1 (E) None
Find two linearly independent solutions of y" + 5xy = 0 of the form y1 = 1+ a3a + a6x® + ... y2 = x + b,x* + byz7 +... Enter the first few coefficients: az = a6 b4 by = || ||
If A and B are orthogonal, is A+B also orthogonal? Can you demonstrate Algebraically using A + B = (A + B)^T etc...? Thank you.
22. If {1, e2x, xe2} is a basis of solutions of y"" + ay" + by' + cy = 0, Chen b = (a) 2 (b) -2 Q3. The general solution of the D.E. (a) C₁+C₂ cos(2 ln x) + c3 sin (2 ln x) (c) C₁+C₂ cos (lnx) + c3 sin(lnx) (e) C₁+C₂ cos(3 ln x) + c3 sin (3 ln x) -4 (d) 4 (e) 0 x³y"" + 3x²y" + 10xy' = 0 is given by y(x) (b) C₁+C₂ cos (2 ln x) + c3 sin (2 ln x) (d) c₁x + C₂ cos (lnx) + c3 sin (lnx) =
4 3 0 Compute the quadratic form x'Ax for A = 3 5 2 and each of the following vectors. 0 2 1 X1 -6 1/ /3 X2 b. x= - 4 c. X = 1/ 3 a. x= 1/ 13 4 X3 а. х Ах b. x' Ax = (Simplify your answer.) C. x'Ax = (Simplify your answer.)
2. Find the coordinate matrix of 7 = ³-{()-(-9)} B = 2 0 0 6 2 relative to the basis
7. Find two linearly independent solutions of y" + 3ay = 0 of the form y₁=1+ a32³ +as+... 32=2+b₁¹+b727 +.... Enter the first few coefficients: as 11 ag= b₁ == 41 (numbers) (numbers) (numbers) ›(numbers)
55. In R3, given V =. Find m such that (-3; 5; m) E V.
5 6 0 Compute the quadratic form x'Ax for A = 6 3 1 and each of the following vectors. 01 4 X1 1/ v3 6 a. X= X2 b. x= 5 C. X= 1/ y3 -1/ 3 7 X3 a.x'Ax=O b. x'Ax =O (Simplify your answer.) C. x'Ax -| | (Simplify your answer.)

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra for College Students

Algebra

ISBN:

9781285195780

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

SEE MORE TEXTBOOKS

If {1, e²x, xe²*} is a basis of solutions of y"" + ay" +by' + cy = 0, b= 2 (b) -2 -4 (d) 4 (e) 0