D. Multiple Choice 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x + 3)], what special case is this? A. B. Legendre Equation Cauchy-Euler Equation C. D. A. B. 2. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x +31)], transform it to z. A. 64(D² - D+)y = 16e²² sec²z C. 64(D²D+)y = 16e²z sec²2z (D² - 4D + 4)y = e2² sec²2z B. (D² - 4D + 4)y = e²² sec²z D. Variation of Parameters None of the choices 3. Given: x³y" - 3x2y" + 6xy' - 12y = 2x¹ + lnx, write the transformed equation in z. (D³6D² + 11D - 12)y = 2e¹² + z (D³-6D² + 11D - 12)y = e²² + z (D³ - D² + 11D 12)y = 2e¹² + z (D³ - D² + 11D - 12)y = 2e¹² + Inz C. D. 9
D. Multiple Choice 1. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x + 3)], what special case is this? A. B. Legendre Equation Cauchy-Euler Equation C. D. A. B. 2. Given: [(4x + 3)²D² - 12(4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (In|4x +31)], transform it to z. A. 64(D² - D+)y = 16e²² sec²z C. 64(D²D+)y = 16e²z sec²2z (D² - 4D + 4)y = e2² sec²2z B. (D² - 4D + 4)y = e²² sec²z D. Variation of Parameters None of the choices 3. Given: x³y" - 3x2y" + 6xy' - 12y = 2x¹ + lnx, write the transformed equation in z. (D³6D² + 11D - 12)y = 2e¹² + z (D³-6D² + 11D - 12)y = e²² + z (D³ - D² + 11D 12)y = 2e¹² + z (D³ - D² + 11D - 12)y = 2e¹² + Inz C. D. 9
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.2: Decimal Forms Of Rational Numbers
Problem 42WE
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