### Related

##### ic1

ic1(P=%c*%e^(r*t),P=P...

Calculate

? ic1;

Calculate

##### ic1

ic1(P=%c*%e^(r*t),P=P...

Calculate

? ic1;

Calculate

### ic1

Run Example
(%i1)eq: 'diff(l,t) = k * (a - l);
dl
(%o1)                           -- = k (a - l)
dt
(%i2) eq2: ode2(eq,l,t);
- k t      k t
(%o2)                     l = %e      (a %e    + %c)
(%i3) sol: ic1(eq2, t= b, l= 0);
- k t      k t       b k
(%o3)                   l = %e      (a %e    - a %e   )
(%i4)
Run Example
eq:'diff(y,x)-x*y=x;
dy
(%o1)                            -- - x y = x
dx
(%i2) sol1:ode2(eq,y,x);
2     2
x     x
- --    --
2     2
(%o2)                       y = (%c - %e    ) %e
(%i3) sol2:ic1(sol1,y=0,x=2);
2
x
--
- 2    2      2
(%o3)                       y = %e    (%e   - %e )
(%i4)
Run Example
rr:'diff(x,y)=-2*y^3;
dx        3
(%o1)                             -- = - 2 y
dy
(%i2) sol:ode2(rr,x,y);
4
y
(%o2)                             x = %c - --
2
(%i3) ic1(sol,x=1,y=1/2);
4
16 y  - 33
(%o3)                          x = - ----------
32
(%i4)

Help for Ic1