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Consider the following. 7 7 + X y (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. 7 (3x - 1)² y' = = 3 y' = (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). (3x 12 X 7 1)² x

Consider the following. 7 7 + X y (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. 7 (3x - 1)² y' = = 3 y' = (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). (3x 12 X 7 1)² x

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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Consider the following. 7 7 X y (a) Find y' by implicit differentiation. + = 3 y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. 7 (3x - 1)² y' = ~~ y' = 2 X (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). 7 (3x - 1)² X
Transcribed Image Text:Consider the following. 7 7 X y (a) Find y' by implicit differentiation. + = 3 y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. 7 (3x - 1)² y' = ~~ y' = 2 X (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). 7 (3x - 1)² X
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