Problem Set 5: CURVE TRACING URVES and Find the equation of the tangent and normal to the given curve at the given point. 1. 2x'+3y 5 at (1,1) 2. xy-x'y 12 at (-1.2) =2 3. y at (-1,-1) 4. x+2y+1= at (2,-1) x-1 5. x+xy+y 3 at (1,1) 6. x+2ry-y+x=2 at (1.2) 7. x+y (2r+2y-x) at (0, %) 8. +y 4 at (-3v3, 1) 9. 2(x+yy 25(x -y') at (3, 1) 10. y'(y-4) x'(x-5) at (0,-2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem Set 5: POLYNOMIAL CURVES and
CURVE TRACING
Find the equation of the tangent and normal to the given
curve at the given point.
1. 2x +3y 5 at (1,1)
2. xy-x'y 12 at (-1,2)
3.
=2 at (-1,-1)
4. x+2y+1=
at (2,-1)
x-1
5. x+xy+y 3 at (1,1)
6. x+2ry-y'+x =2 at (1.2)
7. x+y (2r+2y-x) at (0, %)
8. +y 4 at (-3v3, 1)
9. 2(x + y'y = 25(x-y') at (3. 1)
10. y'y-4) x(x-5) at (0,-2)
Transcribed Image Text:Problem Set 5: POLYNOMIAL CURVES and CURVE TRACING Find the equation of the tangent and normal to the given curve at the given point. 1. 2x +3y 5 at (1,1) 2. xy-x'y 12 at (-1,2) 3. =2 at (-1,-1) 4. x+2y+1= at (2,-1) x-1 5. x+xy+y 3 at (1,1) 6. x+2ry-y'+x =2 at (1.2) 7. x+y (2r+2y-x) at (0, %) 8. +y 4 at (-3v3, 1) 9. 2(x + y'y = 25(x-y') at (3. 1) 10. y'y-4) x(x-5) at (0,-2)
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