dy + P(x) = Q(x) A. Write the given D.E in the standard form de P (X) = b. Q(x) = a. O = eS P dx %3D B. Find the integraling factor ( yo = [ øQ dx + c C. The solution : (

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
Question
dy
+ P(x) = Q(x)
A. Write the given D.E in the standard form
xp
a.
P (X) =
b. Qx) =
O =
eS P dx
B. Find the integrating factor (
va = [o0 ar + c _
C. The solution : (
Transcribed Image Text:dy + P(x) = Q(x) A. Write the given D.E in the standard form xp a. P (X) = b. Qx) = O = eS P dx B. Find the integrating factor ( va = [o0 ar + c _ C. The solution : (
dx
4. y
2x = 3y2 – 2; y = 1 when x = 1
dy
5. t ds = (3t + 1)s dt + t³e3t dt
Transcribed Image Text:dx 4. y 2x = 3y2 – 2; y = 1 when x = 1 dy 5. t ds = (3t + 1)s dt + t³e3t dt
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