Q1 Assuming that the equations in Exercises 25-26 define y as a differen- tiable function of x, use Theorem 8 to find the value of dy/dx at the given point. 25. x - 2y2 + xy = 0, (1, 1) 26. xy + y? – 3xr – 3 = 0, (-1, 1)

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1
Assuming that the equations in Exercises 25-26 define y as a differen-
tiable function of x, use Theorem 8 to find the value of dy/dx at the
given point.
25. x – 2y2 + xy = 0, (1, 1)
26. xy + y2 – 3x – 3 = 0, (-1, 1)
Q2
Find the values of öz/äx and öz/öy at the point
z - xy + yz + y³ – 2 = 0, (1, 1, 1)
Transcribed Image Text:Q1 Assuming that the equations in Exercises 25-26 define y as a differen- tiable function of x, use Theorem 8 to find the value of dy/dx at the given point. 25. x – 2y2 + xy = 0, (1, 1) 26. xy + y2 – 3x – 3 = 0, (-1, 1) Q2 Find the values of öz/äx and öz/öy at the point z - xy + yz + y³ – 2 = 0, (1, 1, 1)
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