From: David B. <bil...@us...> - 2006-05-15 15:02:41
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Update of /cvsroot/maxima/maxima/share/contrib/diffequations/tests In directory sc8-pr-cvs7.sourceforge.net:/tmp/cvs-serv22785 Modified Files: rtestode_kamke_2_4.mac Log Message: Minor tweak. Index: rtestode_kamke_2_4.mac =================================================================== RCS file: /cvsroot/maxima/maxima/share/contrib/diffequations/tests/rtestode_kamke_2_4.mac,v retrieving revision 1.2 retrieving revision 1.3 diff -u -d -r1.2 -r1.3 --- rtestode_kamke_2_4.mac 15 May 2006 11:35:18 -0000 1.2 +++ rtestode_kamke_2_4.mac 15 May 2006 15:02:34 -0000 1.3 @@ -81,11 +81,9 @@ (pn_(314),ans:contrib_ode(eqn:x*(x^2+1)*'diff(y,x,2)-(2*(n-1)*x^2+2*n-1)*'diff(y,x,1)+(-v+n-1)*(v+n)*x*y,y,x)); false; -/* Kamke 2. 315 CHECKME */ +/* Kamke 2. 315 CHECKME */ (pn_(315),ans:contrib_ode(eqn:x*(x^2-1)*'diff(y,x,2)+'diff(y,x,1)+a*x^3*y,y,x)); [y=%k1*sin(sqrt(a)*log(2*sqrt(x^2-1)+2*x))+%k2*cos(sqrt(a)*log(2*sqrt(x^2-1)+2*x))]; -ode_check(eqn,ans[1]); -(sqrt(x^2-1)*(sqrt(a)*((8*%k2*x^4-8*%k2*x^2+%k2)*sin(sqrt(a)*log(2*sqrt(x^2-1)+2*x))+(-8*%k1*x^4+8*%k1*x^2-%k1)*cos(sqrt(a)*log(2*sqrt(x^2-1)+2*x)))+(8*%k1*a*x^6-12*%k1*a*x^4+4*%k1*a*x^2)*sin(sqrt(a)*log(2*sqrt(x^2-1)+2*x))+(8*%k2*a*x^6-12*%k2*a*x^4+4*%k2*a*x^2)*cos(sqrt(a)*log(2*sqrt(x^2-1)+2*x)))+sqrt(a)*((8*%k2*x^5-12*%k2*x^3+4*%k2*x)*sin(sqrt(a)*log(2*sqrt(x^2-1)+2*x))+(-8*%k1*x^5+12*%k1*x^3-4*%k1*x)*cos(sqrt(a)*log(2*sqrt(x^2-1)+2*x)))+(8*%k1*a*x^7-16*%k1*a*x^5+9*%k1*a*x^3-%k1*a*x)*sin(sqrt(a)*log(2*sqrt(x^2-1)+2*x))+(8*%k2*a*x^7-16*%k2*a*x^5+9*%k2*a*x^3-%k2*a*x)*cos(sqrt(a)*log(2*sqrt(x^2-1)+2*x)))/(8*x^4+sqrt(x^2-1)*(8*x^3-4*x)-8*x^2+1); method; xformtoconstcoeff; @@ -374,6 +372,8 @@ 0; method; xformtoconstcoeff; +forget(a>0); +[a>0]; /* Kamke 2. 377 */ (pn_(377),ans:contrib_ode(eqn:'diff(y,x,2)=-b^2*y/(x^2+a^2)^2,y,x)); |