Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then integrate both sides. 4) Find the constant of integration. Suppose 5) Write the particular solution as a function P(t). = y³ cos 0 sin³0. Answer the following. = de 6) Separate the differential equation, then integrate both sides. 7) Write the general solution as a function y(0).

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.
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Suppose
dP
dt
and P(1) = 4. Answer the following.
3) Separate the differential equation, then integrate both sides.
4) Find the constant of integration.
Suppose
5) Write the particular solution as a function P(t).
= y³ cos 0 sin³0. Answer the following.
=
de
6) Separate the differential equation, then integrate both sides.
7) Write the general solution as a function y(0).
Transcribed Image Text:Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then integrate both sides. 4) Find the constant of integration. Suppose 5) Write the particular solution as a function P(t). = y³ cos 0 sin³0. Answer the following. = de 6) Separate the differential equation, then integrate both sides. 7) Write the general solution as a function y(0).
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