V-1 dv 32 = dt V e a) Write the given first-order LDE in standard form. b) Solve for the general solution of your answer in part (a) using method of solution for first-order linear differential equations. Express your answer in explicit form. c) Solve for the particular solution of your result in part (b) assuming zero initial conditions, i.e., v(0) = 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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Question
v-1
dv
=
dt V
32
e
a) Write the given first-order LDE in standard form.
b) Solve for the general solution of your answer in part (a) using method of solution for first-order
linear differential equations. Express your answer in explicit form.
c) Solve for the particular solution of your result in part (b) assuming zero initial conditions, i.e.,
v(0) = 0.
d) Solve for { if the final value of your answer in part (c) is equal to 128, i.e., lim t→→∞ v(t) = 128.
Transcribed Image Text:v-1 dv = dt V 32 e a) Write the given first-order LDE in standard form. b) Solve for the general solution of your answer in part (a) using method of solution for first-order linear differential equations. Express your answer in explicit form. c) Solve for the particular solution of your result in part (b) assuming zero initial conditions, i.e., v(0) = 0. d) Solve for { if the final value of your answer in part (c) is equal to 128, i.e., lim t→→∞ v(t) = 128.
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