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67. W = √ u + v อ’W 2 au do

67. W = √ u + v อ’W 2 au do

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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67,68,69

vous y 2x + 3y 57. v = sin(s² - 1²) x 55. z = is, Uxy = Uyx. 59-62 Verify that the conclusion of Clairaut's Theore- 59. u = x²y³ - 3 x²y³ – y4 61. u = cos(x²y) NAME 19 69. w = (a) Find 63-70 Find the indicated partial derivative(s). 63. f(x, y) = x¹y² – x³y; fxxx, fxyx 64. ƒ(x, y) = sin(2x + 5y); fyxy 65. f(x, y, z) = exyz²; fxyz 66. g(r, s, t) = e' sin(st); grst 67. W = √√√u + v²; 68. V = ln(r + s² + t³); อ d³ w X y + 2z 56. T = e-²r cos 58. w = √√1 + u a ³ W du² dv 60. ue sin y 62. u = ln(x + as obom goique a³V Ərds at d³ w дz дудх” ах² ду br
Transcribed Image Text:vous y 2x + 3y 57. v = sin(s² - 1²) x 55. z = is, Uxy = Uyx. 59-62 Verify that the conclusion of Clairaut's Theore- 59. u = x²y³ - 3 x²y³ – y4 61. u = cos(x²y) NAME 19 69. w = (a) Find 63-70 Find the indicated partial derivative(s). 63. f(x, y) = x¹y² – x³y; fxxx, fxyx 64. ƒ(x, y) = sin(2x + 5y); fyxy 65. f(x, y, z) = exyz²; fxyz 66. g(r, s, t) = e' sin(st); grst 67. W = √√√u + v²; 68. V = ln(r + s² + t³); อ d³ w X y + 2z 56. T = e-²r cos 58. w = √√1 + u a ³ W du² dv 60. ue sin y 62. u = ln(x + as obom goique a³V Ərds at d³ w дz дудх” ах² ду br
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