V1+ sin (x5) e-y 2(Vx- 1) f-- cos {sin(2x*)} x-2 x2+3x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1- Find the average rate of change for y = xo = 1
x, = 2
2- Find the instantaneous rare of change for the above function at
x = 3
3- Show that the function y = x' + 3x + 3 satisfy the y= + xy -
2y" = 0
4- Find dy/dx for:
a- y = sec?x – tan?x
b- y = sec*-x)
C- y = sin(tan(3x))
V1 + sin (x5)
e-y 2(vx-1)
f-= cos {sin(2x*)}
Srind the equation of the tangent to the function y = sin x at x = 1/4
x-:
6- Show that y = xsinx is a solution to y +y = 2cosx
Transcribed Image Text:1- Find the average rate of change for y = xo = 1 x, = 2 2- Find the instantaneous rare of change for the above function at x = 3 3- Show that the function y = x' + 3x + 3 satisfy the y= + xy - 2y" = 0 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec*-x) C- y = sin(tan(3x)) V1 + sin (x5) e-y 2(vx-1) f-= cos {sin(2x*)} Srind the equation of the tangent to the function y = sin x at x = 1/4 x-: 6- Show that y = xsinx is a solution to y +y = 2cosx
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