Question

我是maxima的新手，所以如果我提出简单的问题，我真的很抱歉。我有一个微分方程，

(%i1) -(x-x/2*sinh(x/2)+'diff(y,x))*(1/y+'diff(y,x)*x/y^2)+(x-x^2/sinh(x/2)+x^2*cosh(x/2)/(4*(sinh(x/2))^2)+'diff(y,x)*x+'diff(y,x,2)*x^2)/y+y^2-1-0.9*(x-x^2/(2*sinh(x/2)))=0;
                             2      x
      2              2      x  cosh(-)
   2 d y     dy     x               2
  x  --- + x -- - ------- + ---------- + x
       2     dx        x          2 x
     dx           sinh(-)   4 sinh (-)
                       2            2
(%o1) ----------------------------------------
                     y
                      x          dy
               x sinh(-)       x --                          2
          dy          2          dx   1     2               x
     + (- -- + --------- - x) (---- + -) + y  - 0.9 (x - ---------) - 1 = 0
          dx       2             2    y                         x
                                y                        2 sinh(-)
                                                                2

(%i2) ode2(%,y,x);
rat: replaced -0.9 by -9/10 = -0.9
(%o2)                                false

我该怎么办？

Answer 1

你所拥有的等式是非线性的。 Maxima的rk只能解决有限的各种微分方程，看起来你的方程式不属于它能处理的任何类别。

我不知道Maxima中是否还有另一个符号diff eq求解器可以尝试。如果数值解是足够的，请查看======== App ======== Failed to add or remove the application from the server: App [6/23/16 14:35:58:492 EDT] 00000068 InstallSchedu I ADMA5016I: Installation of App started. [6/23/16 14:35:58:507 EDT] 00000068 FfdcProvider W com.ibm.ws.ffdc.impl.FfdcProvider logIncident FFDC1003I: FFDC Incident emitted on C:\Rational\WAS\profiles\AppSrv02\logs\ffdc\server1_a3eaafb6_16.06.23_14.35.58.4922444272500934771801.txt com.ibm.ws.management.application.task.ValidateEE5RestrictionTask.performTask 144 [6/23/16 14:35:58:523 EDT] 00000068 FfdcProvider W com.ibm.ws.ffdc.impl.FfdcProvider logIncident FFDC1003I: FFDC Incident emitted on C:\Rational\WAS\profiles\AppSrv02\logs\ffdc\server1_a3eaafb6_16.06.23_14.35.58.5072495233471069180776.txt com.ibm.ws.management.application.SchedulerImpl.run 328 [6/23/16 14:35:58:636 EDT] 00000068 InstallSchedu I ADMA5014E: The installation of application App failed. [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R org.eclipse.jst.j2ee.commonarchivecore.internal.exception.ManifestException: IWAE0015E An IOException occurred reading the manifest in archive: AppWeb-1.0.war Stack trace of nested exception: java.io.IOException: invalid header field at java.util.jar.Attributes.read(Attributes.java:417) at java.util.jar.Manifest.read(Manifest.java:211) at java.util.jar.Manifest.<init>(Manifest.java:81) at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.ArchiveManifestImpl.<init>(ArchiveManifestImpl.java:81) at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.ArchiveImpl.makeManifest(ArchiveImpl.java:2792) at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.ArchiveImpl.getManifest(ArchiveImpl.java:2288) at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.DeploymentProperties.loadLink(DeploymentProperties.java:1380) at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.DeploymentProperties.loadFrom(DeploymentProperties.java:1359) at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.DeploymentProperties.<init>(DeploymentProperties.java:1054) at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.ArchiveImpl.getDeploymentProperties(ArchiveImpl.java:180) at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.WARFileImpl.containsEJBContent(WARFileImpl.java:1838) at com.ibm.ws.management.application.client.AppInstallHelper.checkForXmiFiles(AppInstallHelper.java:1372) at com.ibm.ws.management.application.client.AppInstallHelper.checkForXmiFiles(AppInstallHelper.java:1331) at com.ibm.ws.management.application.client.AppInstallHelper.checkForEE5Restrictions(AppInstallHelper.java:512) at com.ibm.ws.management.application.task.ValidateEE5RestrictionTask.performTask(ValidateEE5RestrictionTask.java:126) at com.ibm.ws.management.application.SchedulerImpl.run(SchedulerImpl.java:315) at java.lang.Thread.run(Thread.java:780) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R Stack trace of nested exception: [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R java.io.IOException: invalid header field [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at java.util.jar.Attributes.read(Attributes.java:417) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at java.util.jar.Manifest.read(Manifest.java:211) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at java.util.jar.Manifest.<init>(Manifest.java:81) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.ArchiveManifestImpl.<init>(ArchiveManifestImpl.java:81) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.ArchiveImpl.makeManifest(ArchiveImpl.java:2792) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.ArchiveImpl.getManifest(ArchiveImpl.java:2288) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.DeploymentProperties.loadLink(DeploymentProperties.java:1380) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.DeploymentProperties.loadFrom(DeploymentProperties.java:1359) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.helpers.DeploymentProperties.<init>(DeploymentProperties.java:1054) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.ArchiveImpl.getDeploymentProperties(ArchiveImpl.java:180) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at org.eclipse.jst.j2ee.commonarchivecore.internal.impl.WARFileImpl.containsEJBContent(WARFileImpl.java:1838) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at com.ibm.ws.management.application.client.AppInstallHelper.checkForXmiFiles(AppInstallHelper.java:1372) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at com.ibm.ws.management.application.client.AppInstallHelper.checkForXmiFiles(AppInstallHelper.java:1331) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at com.ibm.ws.management.application.client.AppInstallHelper.checkForEE5Restrictions(AppInstallHelper.java:512) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at com.ibm.ws.management.application.task.ValidateEE5RestrictionTask.performTask(ValidateEE5RestrictionTask.java:126) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at com.ibm.ws.management.application.SchedulerImpl.run(SchedulerImpl.java:315) [6/23/16 14:35:58:523 EDT] 00000068 SystemErr R at java.lang.Thread.run(Thread.java:780)（Runge-Kutta实现）。

最大值微分方程

1 个答案: