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 for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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