maple-1
DESCRIPTION
Maple ExamplesTRANSCRIPT
O O
(3)(3)
(2)(2)
O O
O O
O O
(1)(1)
(4)(4)
(7)(7)
O O
(6)(6)
O O
O O
O O
O O
(8)(8)
(5)(5)
restart;sys1:={x+(1/4)*y+z = 1, 3.2*x+1.3*y+4.2*z = 5, 8.7*x+19*y+11.2*z = 94};solve(sys1);
sys1 := xC14
yCz = 1, 3.2 xC1.3 yC4.2 z = 5, 8.7 xC19 yC11.2 z = 94
x = 0.4969502408, y = 5.187800963, z =K0.7939004815
restart;ode := diff(y(x), x, x) = 2*y(x)+1;dsolve(ode);ics := y(0) = 1, (D(y))(0) = 0;dsolve({ics, ode});
ode :=d2
dx2 y x = 2 y x C1
y x = e 2 x _C2CeK 2 x _C1K12
ics := y 0 = 1, D y 0 = 0
y x =34
e 2 xC34
eK 2 xK12
restart;ode := diff(y(x), x, x) = diff(y(x),x)+exp(x);dsolve(ode);
ode :=d2
dx2 y x =ddx
y x Cex
y x = K1C_C1Cx exC_C2
restart;pde:=diff(u(t,x),t,t)-diff(u(t,x),x,x)=0;pdsolve(pde);
pde :=v2
vt2 u t, x K
v2
vx2 u t, x = 0
u t, x = _F1 xCt C_F2 xKt
restart:declare(w[1],w[2],w[3],w[4],w[5],w[6],w[7],w[8],w[9]);declare w1, w2, w3, w4, w5, w6, w7, w8, w9
eqns:={4*w[7]-w[8]-w[4]=0,4*w[4]-w[5]-w[1]-w[7]=0,4*w[1]-w[2]-w[4]=25,4*w[8]-w[9]-w[7]-w[5]=0,4*w[5]-w[6]-w[4]-w[2]-w[8]=0,4*w[2]-w[3]-w[1]-w[5]=50,4*w[3]-w[2]-w[6]=150,4*w[9]-w[8]-w[6]=25,4*w[6]-w[5]-w[3]-w[9]=50};
eqns := 4 w1Kw2Kw4 = 25, 4 w3Kw2Kw6 = 150, 4 w7Kw8Kw4 = 0, 4 w9Kw8Kw6 = 25,
4 w2Kw3Kw1Kw5 = 50, 4 w4Kw5Kw1Kw7 = 0, 4 w6Kw5Kw3Kw9 = 50, 4 w8Kw9
Kw7Kw5 = 0, 4 w5Kw6Kw4Kw2Kw8 = 0
solve(eqns);
w1 =754
, w2 =752
, w3 =2254
, w4 =252
, w5 = 25, w6 =752
, w7 =254
, w8 =252
, w9 =754
restart:declare(x[1],x[2],x[3],x[4]);declare x1, x2, x3, x4
eqns:={10*x[1]-x[2]+2*x[3]=6,-x[1]+11*x[2]-x[3]+3*x[4]=25,2*x[1]
O O
O O
O O
(15)(15)
(10)(10)
(16)(16)
(9)(9)
O O
(13)(13)
O O
O O
(12)(12)
(14)(14)
O O
O O
O O
O O
(18)(18)
(11)(11)
(17)(17)
-x[2]+10*x[3]-x[4]=-11,3*x[2]-x[3]+8*x[4]=15};eqns := 10 x1Kx2C2 x3 = 6, 3 x2Kx3C8 x4 = 15, Kx1C11 x2Kx3C3 x4 = 25, 2 x1Kx2
C10 x3Kx4 =K11
solve(eqns);x1 = 1, x2 = 2, x3 =K1, x4 = 1
restart:declare(x[1],x[2],x[3]);{x[1] = 1, x[2] = 2, x[3] = -1, x[4] = 1}
declare x1, x2, x3
eqns:={3*x[1]-cos(x[2]*x[3])-1/2=0,(x[1])^2-81*(x[2]+0.1)^2+sin(x[3])+1.06=0,exp(-x[1]*x[2])+20*x[3]+(10*3.14-3)/3=0};
eqns := 3 x1Kcos x2 x3 K12
= 0, eKx
1 x
2C20 x3C9.466666667 = 0, x12K81 x2C0.1 2
Csin x3 C1.06 = 0
solve(eqns);Warning, solutions may have been lost
restart:declare(x[1],x[2],x[3],x[4]);declare x1, x2, x3, x4
eqns:={x[1]-x[2]+x[3]=1,-x[1]+x[2]-x[3]+x[4]=0,x[1]-x[2]+2*x[3]-x[4]=-1,x[2]-x[3]+2*x[4]=-1};
eqns := x1Kx2Cx3 = 1, x2Kx3C2 x4 =K1, Kx1Cx2Kx3Cx4 = 0, x1Kx2C2 x3Kx4 =K1
solve(eqns);x1 =K2, x2 =K4, x3 =K1, x4 = 1
restart:declare(x[1],x[2]);declare x1, x2
eqns:={x[1]-x[2]=0,x[1]*x[2]+x[2]=2};eqns := x1Kx2 = 0, x1 x2Cx2 = 2
solve(eqns);x1 =K2, x2 =K2 , x1 = 1, x2 = 1