I Determine the order and degree of the differentiah equation dx y-

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I Determine the order and degree of the differentiah equation
dx
dt
I Eliminate the arbitrary constants
1,
y = Ae cos 3x +Ce sin 3x
3X
2.
= I- X
'k-1
k+1
II Find the differential equation characterizing the family of
curves desonbed:
1. circes passing through the origin and (2,0)
2. tangents to x² = 4y
Y Solve the following di fferential equotions
xdy
y Tx+y2
xp
x2+y
1.
+ dy
3y²dx
x*+ 3x
d + (ay h + s an y]dy - o
2.
+ 3 sin
X+ 3
(st +1)s dt + t³est
when t= 1
3. tds
4. cscx dy = cot?y dx
when X = T, y==
V Determinz the value of k that will make the equation
exact and solve the resulting differental equation
(cos y + Gxy3) dx + (2kx³y²-x ainy)dy=o
Transcribed Image Text:I Determine the order and degree of the differentiah equation dx dt I Eliminate the arbitrary constants 1, y = Ae cos 3x +Ce sin 3x 3X 2. = I- X 'k-1 k+1 II Find the differential equation characterizing the family of curves desonbed: 1. circes passing through the origin and (2,0) 2. tangents to x² = 4y Y Solve the following di fferential equotions xdy y Tx+y2 xp x2+y 1. + dy 3y²dx x*+ 3x d + (ay h + s an y]dy - o 2. + 3 sin X+ 3 (st +1)s dt + t³est when t= 1 3. tds 4. cscx dy = cot?y dx when X = T, y== V Determinz the value of k that will make the equation exact and solve the resulting differental equation (cos y + Gxy3) dx + (2kx³y²-x ainy)dy=o
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