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MAT244 Math--Lectures / Question for TT2

« on: December 06, 2014, 08:10:29 PM »

TT2 #1

Solve the following initial value problem
x^3y‴−3x^2y″+6xy′−6y=−24x−1+6lnx

y(1)=−5/6 , y′(1)=−2 , y″(1)=2

This was the first question on term test two. Can someone please tell me where this type of question was covered in the textbook? Thank you in advance!

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MAT244 Math--Lectures / Particular Solution Question

« on: December 06, 2014, 01:34:45 PM »

$$y^{(4)}−3y″−4y=\sin(t)+8t.$$

apparently the particular solution is $Y = At\cos(t) + Btsin(t) + Ct + D$

I know why it's $At\cos(t) + Bt\sin(t)$ , but I have no idea where the $Ct + D$ is coming from. Can someone please explain this?

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Quiz 3 / Q3 problem1 (night sections)

« on: October 22, 2014, 09:38:38 PM »

4.3 #2

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Quiz 2 / Quiz 2 Problem 2 (night sections)

« on: October 01, 2014, 10:41:33 PM »

3.4 #14
Solve the given initial value problem. Sketch the graph of the solution and describe its behavior for increasing $t$.
\begin{equation*}
y''+ 4y'+ 4y = 0, \qquad y(-1) = 2,\quad y'(-1) = 1.
\end{equation*}

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Quiz 2 / Quiz 2 Problem 1 (night sections)

« on: October 01, 2014, 10:39:30 PM »

3.2 #17

If the Wronskian $W$ of $f$ and $g$ is $3e^{4t}$ , and if $f (t) = e^{2t}$ , find $g(t)$.


Can anyone type solution? - V.I.