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1. If x'y-xy'=2 find y and y" at x=1

1. If x'y-xy'=2 find y and y" at x=1

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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a all zain 1Q 2_528752598317... Chapter Three DERIVATIVES Homework 1: 1. If x'y-xy' =2 find y' and y" at x=1 2. Prove that the following curves are intersecting with a right angle: 5y-2x+ y -x'y 0 2y+5x+x* -x'y =0 in the origin. Hint: y,**y,=-1 in the origin (0, 0). dr 3. Find a if r = Vs+1 and s =161 – 20t . dt d'y and if x= dx² dy 4. Find dx and y= 1+1 1+1 5. If y = tan x, prove that y`= 2(1+ y)(3+ y). 6. If x= sect and y = tant, evaluate at i of the following: 4 dy (a) dx d'y (b) dx? 7. Find y for xcos y = sin(x+ y). University of Kufa\Civil Eng. (61) Mathematu
Transcribed Image Text:a all zain 1Q 2_528752598317... Chapter Three DERIVATIVES Homework 1: 1. If x'y-xy' =2 find y' and y" at x=1 2. Prove that the following curves are intersecting with a right angle: 5y-2x+ y -x'y 0 2y+5x+x* -x'y =0 in the origin. Hint: y,**y,=-1 in the origin (0, 0). dr 3. Find a if r = Vs+1 and s =161 – 20t . dt d'y and if x= dx² dy 4. Find dx and y= 1+1 1+1 5. If y = tan x, prove that y`= 2(1+ y)(3+ y). 6. If x= sect and y = tant, evaluate at i of the following: 4 dy (a) dx d'y (b) dx? 7. Find y for xcos y = sin(x+ y). University of Kufa\Civil Eng. (61) Mathematu
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