Related

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-y...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=3*...

atvalue(y(x),x=0,2);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=3*...

atvalue(y(x),x=0,2);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-y...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

atvalue-bc2-desolve-diff-exp-ic2-ode2-plot2d-rhs-sin

eqn1: diff(y(x),x)=z;

eqn2: diff(z(x),x)=-...

atvalue(y(x),x=0,3);

Calculate

[atvalue,bc2,desolve,diff,exp,ic2,ode2,plot2d,rhs]

Run Example
```(%i1)eqn1: diff(y(x),x)=z;
d
(%o1)                            -- (y(x)) = z
dx
(%i2) eqn2: diff(z(x),x)=3*z(x)-2*y(x)+exp(x)^x;
2
d                               x
(%o2)                 -- (z(x)) = 3 z(x) - 2 y(x) + %e
dx
(%i3) atvalue(y(x),x=0,2);
(%o3)                                  2
(%i4) atvalue(z(x),x=0,3);
(%o4)                                  3
(%i5) result:desolve([eqn1,eqn2],[y(x),z(x)]);
2
(%o5) [y(x) = x z + 2, z(x) = ilt((g33270
2
g33270
-------
%i g33270           4
(sqrt(%pi) %i erf(---------) + 6 %e        + sqrt(%pi) %i)
2
2               2                     2
g33270          g33270                g33270
-------         -------               -------
4               4              3      4
- 8 g33270 %e        - 4 z %e       )/(2 g33270  %e
2
g33270
-------
2      4
- 6 g33270  %e       ), g33270, x)]
(%i6) eqn_1: 'diff(y,x,2)-diff(y,x) =x;
2
d y
(%o6)                               --- = x
2
dx
(%i7) eqn_2:ode2(eqn_1, y,x);
3
x
(%o7)                        y = -- + %k2 x + %k1
6
(%i8) eqn_3:ic2(eqn_2,x=0,y=0, 'diff(y,x)=1);
3
x
(%o8)                             y = -- + x
6
(%i9) plot2d(rhs(eqn_3), [x,0,3]);
ploteqn_11: 'diff(y,x,2)-3*diff(y,x)+4*y(x)=x^2;
2
d y             2
(%o10)                         --- + 4 y(x) = x
2
dx
(%i11) sol: ode2(eqn_11,y,x);
(%o11)                               false
(%i12) sol1: bc2(sol, x=1, y=1, x=5, y=-1);
(%o12)                                []
(%i13) plot2d(rhs(sol1),[x,1,5]);
plot```
Run Example
```eqn1: diff(y(x),x)=z;
d
(%o1)                            -- (y(x)) = z
dx
(%i2) eqn2: diff(z(x),x)=3*z(x) - 2*y(x) + exp(x)^x;
2
d                               x
(%o2)                 -- (z(x)) = 3 z(x) - 2 y(x) + %e
dx
(%i3)  atvalue(y(x),x=0,2);
(%o3)                                  2
(%i4)  atvalue(z(x),x=0,3);
(%o4)                                  3
(%i5) result:desolve([eqn1,eqn2],[y(x),z(x)]);
2
(%o5) [y(x) = x z + 2, z(x) = ilt((g33270
2
g33270
-------
%i g33270           4
(sqrt(%pi) %i erf(---------) + 6 %e        + sqrt(%pi) %i)
2
2               2                     2
g33270          g33270                g33270
-------         -------               -------
4               4              3      4
- 8 g33270 %e        - 4 z %e       )/(2 g33270  %e
2
g33270
-------
2      4
- 6 g33270  %e       ), g33270, x)]
(%i6)   eqn_1: 'diff(y,x,2) - diff(y,x)= x;
2
d y
(%o6)                               --- = x
2
dx
(%i7)  eqn_2:ode2(eqn_1, y,x);
3
x
(%o7)                        y = -- + %k2 x + %k1
6
(%i8)  eqn_3:ic2(eqn_2,x=0,y=0, 'diff(y,x)=1);
3
x
(%o8)                             y = -- + x
6
(%i9)   plot2d(rhs(eqn_3), [x,0,3]);
plot   eqn_11: 'diff(y,x,2)- 3*(diff(y,x)) +4*y(x)=x^2;
2
d y             2
(%o10)                         --- + 4 y(x) = x
2
dx
(%i11)  sol: ode2(eqn_11,y,x);
(%o11)                               false
(%i12)  sol1: bc2(sol, x=1, y=1, x=5, y=-1);
(%o12)                                []
(%i13)  plot2d(rhs(sol1),[x,1,5]);
plot```
Run Example
```eqn1: diff(y(x),x)=z;
d
(%o1)                            -- (y(x)) = z
dx
(%i2)  eqn2: diff(z(x),x)=3*z(x)-2*y(x)+exp(x)^x;
2
d                               x
(%o2)                 -- (z(x)) = 3 z(x) - 2 y(x) + %e
dx
(%i3)  atvalue(y(x),x=0,2);
(%o3)                                  2
(%i4)  atvalue(z(x),x=0,3);
(%o4)                                  3
(%i5) result:desolve([eqn1,eqn2],[y(x),z(x)]);
2
(%o5) [y(x) = x z + 2, z(x) = ilt((g33270
2
g33270
-------
%i g33270           4
(sqrt(%pi) %i erf(---------) + 6 %e        + sqrt(%pi) %i)
2
2               2                     2
g33270          g33270                g33270
-------         -------               -------
4               4              3      4
- 8 g33270 %e        - 4 z %e       )/(2 g33270  %e
2
g33270
-------
2      4
- 6 g33270  %e       ), g33270, x)]
(%i6)   eqn_1: 'diff(y,x,2)-diff(y,x) =x;
2
d y
(%o6)                               --- = x
2
dx
(%i7) eqn_2:ode2(eqn_1, y,x);
3
x
(%o7)                        y = -- + %k2 x + %k1
6
(%i8)  eqn_3:ic2(eqn_2,x=0,y=0, 'diff(y,x)=1);
3
x
(%o8)                             y = -- + x
6
(%i9)  plot2d(rhs(eqn_3), [x,0,3]);
plot  eqn_11: 'diff(y,x,2)-3*diff(y,x)+4*y(x)=x^2;
2
d y             2
(%o10)                         --- + 4 y(x) = x
2
dx
(%i11)  sol: ode2(eqn_11,y,x);
(%o11)                               false
(%i12)  sol1: bc2(sol, x=1, y=1, x=5, y=-1);
(%o12)                                []
(%i13)  plot2d(rhs(sol1),[x,1,5]);
plot```