exercise:15f1b538cb: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\ex}[1]{\item } \newcommand{\sx}{\item} \newcommand{\x}{\sx} \newcommand{\sxlab}[1]{} \newcommand{\xlab}{\sxlab} \newcommand{\prov}[1] {\quad #1} \newcommand{\provx}[1] {\quad \mbox{#1}} \newcommand{\intext}[1]{\quad \mbox{#1} \quad} \newcommand{\R}{\mathrm{\bf R}} \newcommand{\Q}{\mathrm{\bf Q}} \newcommand{\Z}{\mathrm{\bf Z}} \newcommand{\C}{\mathrm{\bf C}} \newcommand{\dt}{\textbf} \newcommand{\goesto}{\rightarrow}...") |
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\newcommand{\mathds}{\mathbb} | \newcommand{\mathds}{\mathbb} | ||
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<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li> | ||
Find the general solution of the differential equation | Find the general solution of the differential equation | ||
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</math></li> | </math></li> | ||
<li>Find the particular solution <math>y</math> of the equation | <li>Find the particular solution <math>y</math> of the equation | ||
in part | in part (a) with the property that | ||
<math>y = 2</math> and <math>\dydx = 9</math> when <math>x = 0</math>. | <math>y = 2</math> and <math>\dydx = 9</math> when <math>x = 0</math>. | ||
(''Hint:'' Use these two conditions to | (''Hint:'' Use these two conditions to evaluate the arbitrary constants which appear in the general solution.)</li> | ||
evaluate the arbitrary constants which appear | |||
in the general solution.)</li> | |||
</ul> | </ul> | ||
Latest revision as of 01:58, 24 November 2024
[math]
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[/math]
-
Find the general solution of the differential equation
[[math]] \deriv2y _ 8\dydx + 16y = 0 . [[/math]]
- Find the particular solution [math]y[/math] of the equation in part (a) with the property that [math]y = 2[/math] and [math]\dydx = 9[/math] when [math]x = 0[/math]. (Hint: Use these two conditions to evaluate the arbitrary constants which appear in the general solution.)