https://dananne.org/dw/ 2026-05-06T06:11:20+00:00 https://dananne.org/dw/ https://dananne.org/dw/lib/tpl/codowik/images/favicon.ico text/html 2017-01-12T10:17:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-1&rev=1484245075&do=diff Mathematics 255 - Spring 2017 Homework Problems 1-2: 1, 3 text/html 2017-01-12T10:17:37+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-2&rev=1484245057&do=diff Mathematics 255 - Spring 2017 Homework Problems 1-3: 1, 3, 4 Problems 1-4: 1, 2, 3, 4, 5, 6 text/html 2017-01-13T09:29:54+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-3&rev=1484328594&do=diff Mathematics 255 - Spring 2017 Homework Problems 1-5: 1, 2, 3, 4, 5 Problems 1-6: 1, 2, 3, 4, 6 text/html 2017-01-17T09:11:44+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-4&rev=1484673104&do=diff Mathematics 255 - Spring 2017 Homework Problems 2-2: 1, 2, 3, 4, 6 text/html 2017-01-19T08:04:06+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-5&rev=1484841846&do=diff Mathematics 255 - Spring 2017 Homework Problems 2-3: 1, 2, 3, 4, 5 text/html 2017-01-22T13:45:55+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-6&rev=1485121555&do=diff Mathematics 255 - Spring 2017 Homework Problems 2-4: 1, 2, 5 text/html 2017-01-24T08:45:33+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-7&rev=1485276333&do=diff Mathematics 255 - Spring 2017 Homework Problems 2-5: 1, 2, 4, 5, 6 text/html 2017-01-26T09:17:37+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-8&rev=1485451057&do=diff Mathematics 255 - Spring 2017 Homework Problems 2-6: 1, 2, 3, 5, 6, 9 Also: Solve the following differential equations: * $x\frac{dy}{dx} + y = x^4y^3$ * $\frac{dy}{dx} + y = -y^3$, $y(0) = 1$ * $\frac{dy}{dx} - y = -6e^xy^{\frac{3}{2}}$, $y(0) = \frac{1}{4}$ Answers: * $y^2 = \frac{1}{cx^2 - x^4}$ * $y = \frac{1}{\sqrt{2e^{2x} - 1}}$ * $y = \frac{1}{4}e^{-2x}$ text/html 2017-01-29T12:43:40+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-9&rev=1485722620&do=diff Mathematics 255 - Spring 2017 Homework Problems 2-7: 1, 2, 3, 4 Also: Solve the following equations: * $yy'' + (y')^2 = 0$ * $xy'' = y' + (y')^3$ Answers: * $y^2 = c_1x + c_2$ * $x^2 + (y - c_2)^2 = c_1^2$ text/html 2017-01-31T17:11:35+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-10&rev=1485911495&do=diff Mathematics 255 - Spring 2017 Homework Problems 3-2: 1, 2, 3, 5, 6 Problems 3-3: 1 text/html 2017-02-04T15:30:43+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-11&rev=1486251043&do=diff Mathematics 255 - Spring 2017 Homework Problems 3-5: 1 Problems 3-7: 1, 2 Problems 3-8: 1, 2, 3 Also: * An object, initially at $45^\circ$, is placed in a room held at a constant $70^\circ$. If after 10 minutes the temperature of the object has increased to $50^\circ$, when will object reach a temperature of $60^\circ$ text/html 2017-02-09T07:50:03+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-12&rev=1486655403&do=diff Mathematics 255 - Spring 2017 Homework Problems 4-3: 5, 6, 7 Problems 4-4: 1, 2 Problems 4-8: 1, 3, 5 text/html 2017-02-12T12:59:54+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-13&rev=1486933194&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-2: 1, 3, 4 text/html 2017-02-15T06:30:30+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-14&rev=1487169030&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-2: 2 Problems 5-3: 3, 4 Also: Suppose $a(x)$, $b(x)$, and $c(x)$ are continuous on an interval $I$, with $a(x) \ne 0$ for all $x$ in $I$. Moreover, suppose $y_1$ and $y_2$ are linearly independent solutions to $a(x)y'' + b(x)y' + c(x)y = 0$ on $(-\infty, \infty)$. Show that $y_1$ and $y_2$ cannot have a local maximum at the same point $x_0$ text/html 2017-02-16T10:00:59+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-15&rev=1487268059&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-4: 1, 4abcdfgh, 5, 6, 7 text/html 2017-02-19T11:29:51+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-16&rev=1487532591&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-5: 1, 4, 5 text/html 2017-02-21T09:51:10+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-17&rev=1487699470&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-5: 2, 3, 6, 8, 10 text/html 2017-02-23T09:05:40+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-18&rev=1487869540&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-6: 1, 2, 3, 4, 5, 8 text/html 2017-02-26T10:10:08+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-19&rev=1488132608&do=diff Mathematics 255 - Spring 2017 Homework Problems 5-7: 1, 2 text/html 2017-02-28T08:46:48+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-20&rev=1488300408&do=diff Mathematics 255 - Spring 2017 Homework Problems 6-2: 1, 3b, 6, 7 text/html 2017-03-02T10:05:21+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-21&rev=1488477921&do=diff Mathematics 255 - Spring 2017 Homework Problems 6-3: 1, 3, 4 text/html 2017-04-20T06:17:02+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-22&rev=1492694222&do=diff Mathematics 255 - Spring 2017 Homework Problems 7-2: 2, 3, 4, 5, 7abcg text/html 2017-04-20T06:16:49+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-23&rev=1492694209&do=diff Mathematics 255 - Spring 2017 Homework Problems 7-3: 1acd, 2 Recursion formulas: For 2a: $a_n = -\frac{1}{(n + \alpha - 2)(n + \alpha - 1)}a_{n-2}$, $n = 2, 3, 4, \ldots$ For 2b: $a_{n+1} = -\frac{2}{(n + \alpha + 1)(n + \alpha - 1)}a_n$, $n = 0, 1, 2, \ldots$ text/html 2017-04-20T06:16:37+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-24&rev=1492694197&do=diff Mathematics 255 - Spring 2017 Homework Problems 8-5: 5, 6 text/html 2017-04-20T06:16:24+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-25&rev=1492694184&do=diff Mathematics 255 - Spring 2017 Homework Problems 8-2: 1abeg, 5a text/html 2017-04-20T06:15:57+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-26&rev=1492694157&do=diff Mathematics 255 - Spring 2017 Homework Problems 8-2: 1cdh, 5b Problems 8-6: 2 (just solve) text/html 2017-04-20T06:17:30+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-27&rev=1492694250&do=diff Mathematics 255 - Spring 2017 Homework Problems 9-3: 1, 5, 7, 8 text/html 2017-04-20T06:17:41+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-28&rev=1492694261&do=diff Mathematics 255 - Spring 2017 Homework Problems 9-4: 2, 3, 6, 11, 12 text/html 2017-04-20T06:17:54+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-29&rev=1492694274&do=diff Mathematics 255 - Spring 2017 Homework Problems 9-5: 1, 2, 3, 4, 8, 9, 11ab, 14a text/html 2017-04-20T06:18:05+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-30&rev=1492694285&do=diff Mathematics 255 - Spring 2017 Homework Problems 9-6: 1, 3 text/html 2017-04-20T06:18:22+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-31&rev=1492694302&do=diff Mathematics 255 - Spring 2017 Homework Problems 9-7: 7 Also: Solve the following: * $y'' - y' = u(x - 1)$, $y(0) = 0$, $y'(0) = 0$ * $y'' + 3y' + 2y = f(x)$, $y(0) = 0$, $y'(0) = 0$, where $f(x) = \begin{cases}x,& \text{if } 0 < x < 1, \\ 1,& \text{if } x > 1\end{cases}$ * $y'' + y = g(x)$, $y(0) = 3$, $y'(0) = -1$, where $g(x) = \begin{cases}\cos(x),& \text{if } 0 < x < \frac{\pi}{2}, \\ 0,& \text{if } x > \frac{\pi}{2}\end{cases}$ Answers: * $y(x) = (e^{x - 1} - x)u(x - 1)$ * $… text/html 2017-04-20T06:20:23+00:00 Anonymous (anonymous@undisclosed.example.com) https://dananne.org/dw/doku.php?id=math-255:m255-s17-hw:hw-32&rev=1492694423&do=diff Mathematics 255 - Spring 2017 Homework Problems 9-8: 14