HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 217
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hp40g+.book Page 35 Friday, December 9, 2005 1:03 AM LDEC Linear differential equations having constant coefficients LDEC enables you to directly solve linear differential equations having constant coefficients. The parameters are the second member and the characteristic equation. Solve: y" − 6 · y' + 9 · y = x · e3·x Typing: LDEC(X·EXP(3·X),X2−6·X+9) gives: -⎝⎛ (---1---8----⋅---x----------6 c---C----0 6----⋅---x-----⋅---c---C----1----+-----x---3---) 6 ⋅ exp ( 3 ⋅ x)⎠⎞ cC0 and cC1 are integration constants (y(0) = cC0 and y'(0) = cC1). LINSOLVE Solve linear system LINSOLVE enables you to solve a system of linear equations. It is assumed that the various equations are of the form expression = 0. LINSOLVE has two arguments: the first members of the various equations separated by AND, and the names of the various variables separated by AND. Example 1 Typing: LINSOLVE(X+Y+3 AND X-Y+1, X AND Y) gives: (x = −2) AND (y = −1) or, in Step-by-step mode (CFG, etc.): L2=L2−L1 113 1 -1 1 Computer Algebra System (CAS) ENTER 14-35