### Related

##### depends-jacobian

jacobian ([e^(u+v), e...

depends ([F, G], [y,...

jacobian ([F, G], [y...

Calculate

l: 325;

h1: 150;

h2: 225;

Calculate

kill(all);

a:1;

b:3;

Calculate

##### depends-hessian-log-sqrt

hessian (log(x)+sqrt(...

depends (F, [x, y]);

hessian (F, [x, y]);

Calculate

##### diff-num-ratsimp-rhs

eq1:2.26*(S^(0.44))*(...

eq2:diff(eq1,S);

eq3: ratsimp(eq2);

Calculate

##### depends-diff-print

depends(u,[x,t]);

eq: diff(u,x,2);

if op(eq)="derivative...

Calculate

##### diff

eq: H*diff(X)= V*diff...

Calculate

##### ode2

ode2((-5*x - y/5)^3/2...

Calculate

##### depends-hessian

hessian (y^2*z^2+z^2*...

depends (F, [a, b]);

hessian (F, [a, b]);

Calculate

##### diff-log-rectform-solve

p(x):=x*(x-1)*(x-2);

f(x):=diff(p(x),x)-lo...

solve(f(x));

Calculate

### [bc2,depends,diff,ode2]

Run Example
```(%i1)Kill(all);
(%o1)                              Kill(all)
(%i2) depends(f,[x,y]);
(%o2)                              [f(x, y)]
(%i3) depends(y,x);
(%o3)                               [y(x)]
(%i4) f(x,y):=12*x*y+('diff(y,x))^2;
dy 2
(%o4)                      f(x, y) := 12 x y + (--)
dx
(%i5) l1:diff(f(x,y),y);
(%o5)                                12 x
(%i6) l2:diff(f(x,y),'diff(y,x));
dy
(%o6)                                2 --
dx
(%i7) l3:diff(l2,x);
2
d y
(%o7)                                2 ---
2
dx
(%i8) Y1:ode2(l1-l3=0,Y,X);
2
d y
(%t8)                          12 x - 2 --- = 0
2
dx

msg1

(%o8)                                false
(%i9) bc2(%,x=0,y=3,x=1,y=6);
(%o9)                                 []
(%i10) ```
Run Example
```Kill(all);
(%o1)                              Kill(all)
(%i2) depends(f,[x,y]);
(%o2)                              [f(x, y)]
(%i3) depends(y,x);
(%o3)                               [y(x)]
(%i4) f(x,y):=12*x*y+('diff(y,x))^2;
dy 2
(%o4)                      f(x, y) := 12 x y + (--)
dx
(%i5) l1:diff(f(x,y),y);
(%o5)                                12 x
(%i6) l2:diff(f(x,y),'diff(y,x));
dy
(%o6)                                2 --
dx
(%i7) l3:diff(l2,x);
2
d y
(%o7)                                2 ---
2
dx
(%i8) Y1:ode2(l1-l3=0,y,x);
3
(%o8)                        y = x  + %k2 x + %k1
(%i9) bc2(%,x=0,y=3,x=1,y=6);
(%o9)                                 []
(%i10) ```
Run Example
```Kill(all);
(%o1)                              Kill(all)
(%i2) depends(f,[x,y]);
(%o2)                              [f(x, y)]
(%i3) depends(y,x);
(%o3)                               [y(x)]
(%i4) f(x,y):=12*x*y+(diff(y,x))^2;
2
(%o4)                   f(x, y) := 12 x y + diff (y, x)
(%i5) l1:diff(f(x,y),y);
(%o5)                                12 x
(%i6) l2:diff(f(x,y),'diff(y,x));
dy
(%o6)                                2 --
dx
(%i7) l3:diff(l2,x);
2
d y
(%o7)                                2 ---
2
dx
(%i8) Y1:ode2(l1-l3=0,Y,X);
2
d y
(%t8)                          12 x - 2 --- = 0
2
dx

msg1

(%o8)                                false
(%i9) bc2(%,x=0,y=3,x=1,y=6);
(%o9)                                 []
(%i10) ```

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