v-1 dv 32 = dt V 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 lif the final value of your answer in part (c) is equal to 128, i.e., lim v(t) = [-00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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dv 32
v-1.
l
dt v
=
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.
t-8
d) Solve for lif the final value of your answer in part (c) is equal to 128, i.e., lim v(t) =
128.
Transcribed Image Text:dv 32 v-1. l dt v = 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. t-8 d) Solve for lif the final value of your answer in part (c) is equal to 128, i.e., lim v(t) = 128.
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