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Question Title:
Differential Ecuations Method of Undetermined Coefficients
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<!DOCTYPE html PUBLIC "-//ABISOURCE//DTD XHTML plus AWML 2.2//EN" "http://www.abisource.com/2004/xhtml-awml/xhtml-awml.mod"><html xmlns="http://www.w3.org/1999/xhtml" xmlns:awml="http://www.abisource.com/2004/xhtml-awml/"> <head> <meta http-equiv="Content-Type" content="application/xhtml+xml; charset=UTF-8" /> <title> Abiword HTML Document </title> <script type="text/javascript"> <!-- /* MIT License Copyright (c) 2006 Sam Ruby Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the 'Software'), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ window.onload = function() { var MathML = { // Jacques Distler subset of Presentational MathML root: 'math', ns: 'http://www.w3.org/1998/Math/MathML', elements: ['maction', 'math', 'merror', 'mfrac', 'mi', 'mmultiscripts', 'mn', 'mo', 'mover', 'mpadded', 'mphantom', 'mprescripts', 'mroot', 'mrow', 'mspace', 'msqrt', 'mstyle', 'msub', 'msubsup', 'msup', 'mtable', 'mtd', 'mtext', 'mtr', 'munder', 'munderover', 'none'], attributes: ['actiontype', 'align', 'columnalign', 'columnalign', 'columnalign', 'columnlines', 'columnspacing', 'columnspan', 'depth', 'display', 'displaystyle', 'equalcolumns', 'equalrows', 'fence', 'fontstyle', 'fontweight', 'frame', 'height', 'linethickness', 'lspace', 'mathbackground', 'mathcolor', 'mathvariant', 'mathvariant', 'maxsize', 'minsize', 'other', 'rowalign', 'rowalign', 'rowalign', 'rowlines', 'rowspacing', 'rowspan', 'rspace', 'scriptlevel', 'selection', 'separator', 'stretchy', 'width', 'width'] } var SVG = { // svgtiny + class + opacity + offset + style root: 'svg', ns: 'http://www.w3.org/2000/svg', elements: ['a', 'animate', 'animateColor', 'animateMotion', 'animateTransform', 'circle', 'defs', 'desc', 'ellipse', 'font-face', 'font-face-name', 'font-face-src', 'g', 'glyph', 'hkern', 'image', 'linearGradient', 'line', 'metadata', 'missing-glyph', 'mpath', 'path', 'polygon', 'polyline', 'radialGradient', 'rect', 'set', 'stop', 'switch', 'text', 'title', 'use'], attributes: ['accent-height', 'accumulate', 'additive', 'alphabetic', 'arabic-form', 'ascent', 'attributeName', 'attributeType', 'baseProfile', 'bbox', 'begin', 'by', 'calcMode', 'cap-height', 'class', 'color', 'color-rendering', 'content', 'cx', 'cy', 'd', 'descent', 'display', 'dur', 'end', 'fill', 'fill-rule', 'font-family', 'font-size', 'font-stretch', 'font-style', 'font-variant', 'font-weight', 'from', 'fx', 'fy', 'g1', 'g2', 'glyph-name', 'hanging', 'height', 'horiz-adv-x', 'horiz-origin-x', 'id', 'ideographic', 'k', 'keyPoints', 'keySplines', 'keyTimes', 'lang', 'mathematical', 'max', 'min', 'name', 'offset', 'opacity', 'origin', 'overline-position', 'overline-thickness', 'panose-1', 'path', 'pathLength', 'points', 'preserveAspectRatio', 'r', 'repeatCount', 'repeatDur', 'requiredExtensions', 'requiredFeatures', 'restart', 'rotate', 'rx', 'ry', 'slope', 'stemh', 'stemv', 'stop-color', 'stop-opacity', 'strikethrough-position', 'strikethrough-thickness', 'stroke', 'stroke-dasharray', 'stroke-dashoffset', 'stroke-linecap', 'stroke-linejoin', 'stroke-miterlimit', 'stroke-width', 'style', 'systemLanguage', 'target', 'text-anchor', 'to', 'transform', 'type', 'u1', 'u2', 'underline-position', 'underline-thickness', 'unicode', 'unicode-range', 'units-per-em', 'values', 'version', 'viewBox', 'visibility', 'width', 'widths', 'x', 'x-height', 'x1', 'x2', 'y', 'y1', 'y2', 'zoomAndPan'] } // clone a DOM subtree function deepcopy(module, source, dest, nsmap) { // copy attributes for (var i=0; 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deepcopy(module, oldchild, newchild, nsmap); dest.appendChild(newchild); break; } } else if (oldchild.nodeType == 3) { // text var newchild = document.createTextNode(oldchild.nodeValue); dest.appendChild(newchild); } } } // copy modules into their appropriate namespaces var modules = [MathML, SVG]; for (var i=0; i<modules.length; i++) { var module = modules[i]; var roots = document.getElementsByTagName(module.root); for (var j=0; j<roots.length; j++) { var source = roots[j]; if (document.createElementNS) { if (source.__proto__ != HTMLUnknownElement.prototype) continue; if (source.getAttribute('xmlns') != module.ns) continue; var dest = document.createElementNS(module.ns, module.root); deepcopy(module, source, dest, {}); source.parentNode.insertBefore(dest, source); source.parentNode.removeChild(source); } else { // fallback browsers that don't support DOM namespaces var img = document.createElement('img'); img.src = module.root + ' image'; img.title = module.root + ' image'; source.parentNode.insertBefore(img, source) ; } } } } --> </script> </head> <body> <div> <p> <span style="font-family:'Times New Roman'">Use the</span><span style="font-family:'Times New Roman';background:#ffffff">Method of Undetermined Coefficients</span> </p> <p> </p> <span></span><span style="font-family:'Times New Roman'">, y(0)=7, y’(0)=3</span><span></span><span style="font-family:'Times New Roman'">, y(0)=7, y’(0)=3</span><span></span><span style="font-family:'Times New Roman'">, y(0)=7, y’(0)=3</span><span></span><span style="font-family:'Times New Roman'">, y(0)=7, y’(0)=3</span><span></span><span style="font-family:'Times New Roman'">, y(0)=0, y’(0)=1</span> </div> </body> </html> ">
