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6;通解，如果有初始条&=
#20214;&#65292;&#21017;&#27714;&#20986;&#29305;&#35299;&#12290;</span></p>

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style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#20363;</span><span lang=3DEN-US>1</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#65306;&#27714;&#35299;&#24494;&#20998;&#26041;&#31243;=
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amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#30340;</span><=
span
lang=3DEN-US>MATLAB</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#31243;&#24207;=
&#20026;&#65306;</span><span
class=3DSpellE><span lang=3DEN-US>dsolve</span></span><span lang=3DEN-US>('=
<span
class=3DSpellE>Dy</span>=3D1/(<span class=3DSpellE>x+y</span>)','x')</span>=
<span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#65292;&#27880;&#24847;&#65292;&#31995;&#32479;&#32570;=
&#30465;&#30340;&#33258;&#21464;&#37327;&#20026;</span><span
lang=3DEN-US>t</span><span style=3D'font-family:SimSun;mso-ascii-font-famil=
y:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>&#65292;&#22240;&#27492;&#36825;&#=
37324;&#35201;&#25226;&#33258;&#21464;&#37327;&#20889;&#26126;&#12290;</spa=
n></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span style=3D'=
font-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
 New Roman"'>&#32467;&#26524;&#20026;&#65306;</span><span
lang=3DEN-US>-<span class=3DSpellE><span class=3DGramE>lambertw</span></spa=
n><span
class=3DGramE>(</span>-C1*exp(-x-1))-x-1</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span style=3D'=
font-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
 New Roman"'>&#20854;&#20013;&#65306;</span><span
lang=3DEN-US>Y=3D<span class=3DSpellE>lambertw</span>(X)</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#34920;&#31034;&#20989;&#25968;&#20851;&#31995;</span><=
span
lang=3DEN-US>Y*exp(Y)=3DX</span><span style=3D'font-family:SimSun;mso-ascii=
-font-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#12290;</span><=
/p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.0=
pt'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#20363;</span><span lang=3DEN-US>2</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#65306;&#27714;&#35299;&#24494;&#20998;&#26041;&#31243;=
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amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#30340;</span><=
span
lang=3DEN-US>MATLAB</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#31243;&#24207;=
&#20026;&#65306;</span><span
lang=3DEN-US>Y2=3D<span class=3DSpellE><span class=3DGramE>dsolve</span></s=
pan><span
class=3DGramE>(</span>'y*D2y-Dy^2=3D<st1:chmetcnv UnitName=3D"&#8217;" Sour=
ceValue=3D"0"
HasSpace=3D"False" Negative=3D"False" NumberType=3D"1" TCSC=3D"0" w:st=3D"o=
n">0&#8217;</st1:chmetcnv>,&#8217;x&#8217;)</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span style=3D'=
font-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
 New Roman"'>&#32467;&#26524;&#20026;&#65306;</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:31.5=
pt'><span
lang=3DEN-US>Y2 <span class=3DGramE>=3D[</span> exp((x+C2)/C1)]</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:52.5=
pt'><span
lang=3DEN-US>[<span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;
</span>C2]</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;layout-grid-mode=
:char;
mso-layout-grid-align:none'><span style=3D'font-family:SimSun;mso-ascii-fon=
t-family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#25105;&#20204;=
&#30475;&#21040;&#26377;&#20004;&#20010;&#35299;&#65292;&#20854;&#20013;&#1=
9968;&#20010;&#26159;&#24120;&#25968;&#12290;</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt;
layout-grid-mode:char;mso-layout-grid-align:none'><span style=3D'font-famil=
y:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
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lang=3DEN-US>3</span><span style=3D'font-family:SimSun;mso-ascii-font-famil=
y:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>&#65306;&#27714;&#24494;&#20998;&#=
26041;&#31243;&#32452;</span><span
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amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#36890;&#35299;=
&#30340;</span><span
lang=3DEN-US>MATLAB</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#31243;&#24207;=
&#20026;&#65306;</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt;
layout-grid-mode:char;mso-layout-grid-align:none'><span lang=3DEN-US><o:p>&=
nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt;
layout-grid-mode:char;mso-layout-grid-align:none'><span lang=3DEN-US><o:p>&=
nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt;
layout-grid-mode:char;mso-layout-grid-align:none'><span lang=3DEN-US><o:p>&=
nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;layout-grid-mode=
:char;
mso-layout-grid-align:none'><span lang=3DES style=3D'mso-ansi-language:ES'>=
[X,Y]=3Ddsolve('Dx+5*x+y=3Dexp(t),Dy-x-3*y=3Dexp(2*t)','t')<o:p></o:p></spa=
n></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt;
layout-grid-mode:char;mso-layout-grid-align:none'><span style=3D'font-famil=
y:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
 New Roman"'>&#20363;</span><span
lang=3DEN-US>4</span><span style=3D'font-family:SimSun;mso-ascii-font-famil=
y:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>&#65306;&#27714;&#24494;&#20998;&#=
26041;&#31243;&#32452;</span><span
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&#30340;</span><span
lang=3DEN-US>MATLAB</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#31243;&#24207;=
&#20026;&#65306;</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left'><span lang=3DEN=
-US>[X<span
class=3DGramE>,Y</span>]=3D<span class=3DSpellE><span class=3DGramE>dsolve<=
/span></span><span
class=3DGramE>(</span>'Dx+2*x-<span class=3DSpellE>Dy</span>=3D10*<span cla=
ss=3DSpellE>cos</span>(t),Dx+Dy+2*y=3D4*exp(-2*t)','x(0)=3D2','y(0)=3D0')</=
span></p>

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5pt'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#20197;&#19978;&#36825;&#20123;&#37117;&#26159;&#24494;=
&#20998;&#26041;&#31243;&#30340;&#31934;&#30830;&#35299;&#27861;&#65292;&#2=
0063;&#31216;&#20026;&#24494;&#20998;&#26041;&#31243;&#30340;&#31526;&#2149=
5;&#35299;&#12290;&#20294;&#26159;&#65292;&#25105;&#20204;&#30693;&#36947;&=
#65292;&#26377;&#22823;&#37327;&#30340;&#24494;&#20998;&#26041;&#31243;&#34=
429;&#28982;&#20174;&#29702;&#35770;&#19978;&#35762;&#65292;&#20854;&#35299=
;&#26159;&#23384;&#22312;&#30340;&#65292;&#20294;&#25105;&#20204;&#21364;&#=
26080;&#27861;&#27714;&#20986;&#20854;&#35299;&#26512;&#35299;&#65292;&#274=
92;&#26102;&#65292;&#25105;&#20204;&#38656;&#35201;&#23547;&#27714;&#26041;=
&#31243;&#30340;&#25968;&#20540;&#35299;&#65292;&#22312;&#27714;&#24494;&#2=
0998;&#26041;&#31243;&#25968;&#20540;&#35299;&#26041;&#38754;&#65292;</span=
><span
lang=3DEN-US>MATLAB</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#20855;&#26377;=
&#20016;&#23500;&#30340;&#20989;&#25968;&#65292;&#25105;&#20204;&#35762;&#2=
0854;&#32479;&#31216;&#20026;</span><span
lang=3DEN-US>solver</span><span style=3D'font-family:SimSun;mso-ascii-font-=
family:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>&#65292;&#20854;=
&#19968;&#33324;&#26684;&#24335;&#20026;&#65306;</span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.7=
5pt'><span
lang=3DES style=3D'mso-ansi-language:ES'>[T,Y]=3Dsolver(odefun,tspan,y0) <o=
:p></o:p></span></p>

<p class=3DMsoNormal align=3Dleft style=3D'text-align:left;text-indent:21.0=
pt'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#35813;&#20989;&#25968;&#34920;&#31034;&#22312;&#21306;=
&#38388;</span><span
class=3DSpellE><span lang=3DEN-US>tspan</span></span><span lang=3DEN-US>=3D=
[t0,tf]</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>&#19978;&#65292;&#29992;&#21021;&#22987;&#26465;&#20214;=
</span><span
lang=3DEN-US>y0</span><span style=3D'font-family:SimSun;mso-ascii-font-fami=
ly:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>&#27714;&#35299;&#26174;&#24335;&#=
24120;&#24494;&#20998;&#26041;&#31243;</span><span
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