Question

Your initial post is due by Thursday, July 31st, 11:59pm ET. For full credit, your post must include the following items: The notation $y'(t) = \frac{dy}{dt} = \frac{d}{dt}y$ was devised to suggest that the derivative of a function $y$ is the result of operating on the function $y$ with the differentiation operator $\frac{d}{dt}$. Indeed, second derivatives are formed by iterating the operation: $y''(t) = \frac{d^2y}{dt^2} = \frac{d}{dt}\frac{d}{dt}y$. Commonly, the symbol D is used instead of $\frac{d}{dt}$, and the second-order differential equation $y'' + 4y' + 3 = 0$ is represented by $D^2y + 4Dy + 3y = (D^2 + 4D + 3)[y] = 0$. Question: is $(D + 8t)D$ the same as $D(D + 8t)$? Please show your work to support your conclusion. You may write your solutions on a scrap paper and then take a picture of it and then upload it. Or you may insert Math equation directly when you reply to the thread.

Name: your initial post is due by thursday july 31st 1159pm et for full credit your post must include the following items the notation yt fracdydt fracddty was devised to suggest that the derivati 85326
Uploaded: 2022-01-24T15:05:13-08:00
Duration: 1 min 11 s
Channel: Raj Bala
Description: your initial post is due by thursday july 31st 1159pm et for full credit your post must include the following items the notation yt fracdydt fracddty was devised to suggest that the derivati 85326

          Your initial post is due by Thursday, July 31st, 11:59pm ET.

For full credit, your post must include the following items:

The notation $y'(t) = \frac{dy}{dt} = \frac{d}{dt}y$ was devised to suggest that the derivative of a function $y$ is the result of operating on the function $y$ with the differentiation operator $\frac{d}{dt}$. Indeed, second derivatives are formed by iterating the operation: $y''(t) = \frac{d^2y}{dt^2} = \frac{d}{dt}\frac{d}{dt}y$. Commonly, the symbol D is used instead of $\frac{d}{dt}$, and the second-order differential equation $y'' + 4y' + 3 = 0$ is represented by
$D^2y + 4Dy + 3y = (D^2 + 4D + 3)[y] = 0$.

Question: is $(D + 8t)D$ the same as $D(D + 8t)$? Please show your work to support your conclusion.

You may write your solutions on a scrap paper and then take a picture of it and then upload it. Or you may insert Math equation directly when you reply to the thread.

$your initial post is due by thursday july 31st 1159pm et for full credit your post must include the following items the notation yt fracdydt fracddty was devised to suggest that the derivati 85326$

Added by Roger G.

Question

Please give Ace some feedback