I need help with C and D. I want to see detailed steps. 2. The following initial value problem describes oscillatory motion in a viscousmedium:dydy+ 26-+ w?y = 0; y(0) = 0, y/(0) = vo(2)dt2dtwhere b, w, and vo are real, positive, constants.a) If the dimensions of y and t are length (L) and time (T), respectively, what arethe dimensions of w, b, and vo? Express your answer in terms of products LªT°,where a and b are rational numbers.b) Show that y(t)the values of A and B?A cos(wt) + B sin(wt) is a solution to (2) when b = 0. What arec) Starting with y(t)solution to (2). You must show all the steps leading to the solution.eat (where A is, in general, a complex number), find thed) What are the values of w and b, if the period of oscillation in the viscous mediumis 5 s and in the absence of the viscous medium (b = 0) is 3s?

As you mention above i will be providing you only c and d solution. If you want a and b also so send…

2. The following initial value problem describes oscillatory motion in a viscous medium: dy dy + 2b dt + w²y = 0; y(0) = 0, y'(0) = vo (2) %3| dt2 where b, w, and vo are real, positive, constants. a) If the dimensions of y and t are length (L) and time (T), respectively, what are the dimensions of w, b, and vo? Express your answer in terms of products LªTº, where a and h are rational numbers

2. The following initial value problem describes oscillatory motion in a viscous medium: dy dy + 2b dt + w²y = 0; y(0) = 0, y'(0) = vo (2) %3| dt2 where b, w, and vo are real, positive, constants. a) If the dimensions of y and t are length (L) and time (T), respectively, what are the dimensions of w, b, and vo? Express your answer in terms of products LªTº, where a and h are rational numbers

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Question

I need help with C and D. I want to see detailed steps.

2. The following initial value problem describes oscillatory motion in a viscous
medium:
dy
dy
+ 26-
+ w?y = 0; y(0) = 0, y/(0) = vo
(2)
dt2
dt
where b, w, and vo are real, positive, constants.
a) If the dimensions of y and t are length (L) and time (T), respectively, what are
the dimensions of w, b, and vo? Express your answer in terms of products LªT°,
where a and b are rational numbers.
b) Show that y(t)
the values of A and B?
A cos(wt) + B sin(wt) is a solution to (2) when b = 0. What are
c) Starting with y(t)
solution to (2). You must show all the steps leading to the solution.
eat (where A is, in general, a complex number), find the
d) What are the values of w and b, if the period of oscillation in the viscous medium
is 5 s and in the absence of the viscous medium (b = 0) is 3s?

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