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<input type="hidden" name="pc" value="1" /> <div class="text"><input type="text" size="19" name="key" id="key" autocomplete="on" /></div> <div class="image"><input type="image" src="/keisan/pc/common/img/btn_search.gif" class="hov" / alt=""></div> </form> </div> </div> </div> </div> <noscript> <div id='noscript'> ご使用のブラウザは、JAVASCRIPTの設定がOFFになっているため一部の機能が制限されてます。 </div> </noscript> <script>var lang='';var is_pc=1; var loginflag=0; var nownicname='';</script> <script src='/keisan/common/js/KeisanHeader.js?20230516' charset='utf-8'></script> </div>  <body onpageshow="if(event.persisted){onLoadfunc();}" onLoad="onLoadfunc(); "><div id='contents'><div id='main-contents'><div class='col-tit'> <h1 class='title'><span class='ico0203' id='iconbar'>オイラー法（1階常微分方程式） </span></h1></div><div class='bread-navi'><ol class='bread-crumbs'><li><a href='/'>ホーム</a></li><span id='allimage'></span><li> / <a href='/menu/system/000000001290'>数値解析</a></li><li> / <a href='/menu/system/000000001340'>常微分方程式</a></li></ol></div><div class='section'><div id='tb-col'><script> setHistoryList("オイラー法（1階常微分方程式）",'', ''); sysUserCode='system/1392168695';</script><div class='scroolpnt'><table width='100%' border='0' cellspacing='0' cellpadding='0' id='toptable'><tr><td colspan=3 id='summary' class='top_left'><h2 class='title'>1階常微分方程式 y’=F(x,y)の解 y=f(x)をオイラー法で求めます。初期条件 y0=f(x0)でxを x0≦x≦xnの範囲で求めます。</h2></td></tr><tr><td colspan=3 id='upcom' align='center'><table id='tablemid' class='setumei'><tr><td><table align=center style='max-width:100px;clear:left'><tr><td><span class='getMathWidth' style='display:none;'>$\normalsize y'=F(x,y)\hspace{30px} y_0=f(x_0)\rightarrow\ y=f(x)\\$</span></td></tr></table></td></tr></table></td></tr><tr><td colspan=2 align='center'><form name='calc'><input type='hidden' name='lang' value=''><input type='hidden' name='charset' value='utf-8'><table id='inparea'><tr><td colspan='3' class='center'><span id='myGraphA'></span></td></tr><tr><td class='right'><span id='var_F_disp'>F(x,y)</span></td><td><ul class='inner-table'><ol><li><span id='var_F_inp'><input size='25' autocomplete=off type='text' name='var_F' id='var_F' value="1-y^2" class='text' onKeyDown='nextFocus2(event)'></span></li><li><span id='var_F_unit'></span></li><li><span id='var_F_explain' class='execspoff'></span></li></ol></ul></td><td rowspan=5 class='center'><span id='myGraphB'></span></td></tr><tr><td class='right'><span id='var_x0_disp'>x<sub>0</sub></span></td><td><ul class='inner-table'><ol><li><span id='var_x0_inp'><input size='16' autocomplete=off type='text' name='var_x0' id='var_x0' value="0" class='text' onKeyDown='nextFocus2(event)'></span></li><li><span id='var_x0_unit'></span></li><li><span id='var_x0_explain' class='execspon'>初期条件</span></li></ol></ul></td></tr><tr><td class='right'><span id='var_y0_disp'>y<sub>0</sub></span></td><td><ul class='inner-table'><ol><li><span id='var_y0_inp'><input size='16' autocomplete=off type='text' name='var_y0' id='var_y0' value="0" class='text' onKeyDown='nextFocus2(event)'></span></li><li><span id='var_y0_unit'></span></li><li><span id='var_y0_explain' class='execspon'>=f(x<sub>0</sub>) 初期条件</span></li></ol></ul></td></tr><tr><td class='right'><span id='var_xn_disp'>x<sub>n</sub></span></td><td><ul class='inner-table'><ol><li><span id='var_xn_inp'><input size='16' autocomplete=off type='text' name='var_xn' id='var_xn' value="1" class='text' onKeyDown='nextFocus2(event)'></span></li><li><span id='var_xn_unit'></span></li><li><span id='var_xn_explain' class='execspon'>x<sub>0</sub>≦x≦x<sub>n</sub>  </span></li></ol></ul></td></tr><tr><td></td><td align='left'><ul class='inner-table'><ol><li><font color='blue' ><span id='var_nmax_disp'>[ n</span></font></li><li><select name='var_nmax' id='var_nmax' ><option value='10' >10<option value='20' >20<option value='50' selected>50<option value='100' >100<option value='200' >200<option value='500' >500</select></li><li><font color='blue' ><span id='var_nmax_unit'>]</span></font></li><li><font color='blue' ><span id='var_nmax_explain' class='execspon'>分割数</span></font></li></ol></ul></td></tr><tr><td colspan='2' class='center'><input type='button' value=' 計算 ' onclick='return checkText()' class='bigbutton' id='executebtn'><input type='button' id='clearbtn' value='クリア' onclick='clearText()' class='bigbutton'><span id='graph'></span><span id='loadsavebtnarea'><input type='button' value='保存・呼出' id='loadsavebtn' onclick='loadSaveBtn(1)' class='bigbutton'></span><select name='ketasu' class='ketasu'><option value='6' >6桁</option><option value='10' >10桁</option><option value='14' >14桁</option><option value='18' selected>18桁</option><option value='22' >22桁</option><option value='26' >26桁</option><option value='30' >30桁</option><option value='34' >34桁</option><option value='38' >38桁</option><option value='42' >42桁</option><option value='46' >46桁</option><option value='50' >50桁</option></select><script> if(document.getElementById('graph') != null){document.getElementById('graph').innerHTML = "";} </script> <hr class='line'><span id='loadSaveArea'></span></td></tr><tr><td colspan='2' class='center'><span id='myGraphC'></span></td></tr><tr><td colspan=2 class='center'><div><div align='center' style='margin-top:2px;margin-bottom:3px;'><b></b></div><span id='exetb2'></span></div></td></tr><tr><td colspan=2></td></tr></table></td></tr></table></div></form><script> var calendarAr = new Array();</script><div id='exetb0' style='text-align:center'><span id='exetb' style='display:inline-block;margin-bottom:10px'></span><span id='exeright'></span></div><div class='center_container'><table class='image_d_exe' align='center'><tr><td class='center'><span id='myGraphD'></span></td></tr></table><div align='center'><span id='myGraphE'></span></div><div align='center'><table align='center' class='setumei'><tr><td align='left'><table align=center style='max-width:100px;clear:left'><tr><td><span class='getMathWidth' style='display:none;'>$\normalsize Euler's\ method\\<br />(1)\ y'=F(x,y),\hspace{30px} y_0=f(x_0)\rightarrow\ y=f(x)\\<br />(2)\ y_{n+1}=y_n+hF(x_n,\ y_n)+{\small O}(h^2), \hspace{5px} x_n=x_0+nh\\<br />$</span></td></tr></table></td></tr></table></div></div></div>  <div id='questionnaire'><ul class='tab-title cf'></ul><div class='tabs' id='quest-tabs'><ul class='tab-title cf'><li class='tab-voice'><div><img src='/keisan/pc/common/img/ico_voice.png' alt='' /><a href='#voice' onclick='_tabpc = 1;readAnketo(0)'><span>お客様の声</span></a></div></li><li class='tab-enq'><div><img src='/keisan/pc/common/img/ico_enq.png' alt='' /><a href='#enq' onclick='ankset();'><span>アンケート投稿</span></a></div></li><li class='tab-faq'><div><img src='/keisan/pc/common/img/ico_faq.png' alt='' /><a href='#faq' onclick='frqask()'><span>よくある質問</span></a></div></li><li class='tab-link'><div><img src='/keisan/pc/common/img/ico_link.png' alt='' /><a 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