# Question:pdsolve issue with heat PDE. map expects 2 or more arguments, but received 1

## Question:pdsolve issue with heat PDE. map expects 2 or more arguments, but received 1

Maple 2018

Hello Maple experts:

Using Maple 2018.2.1 on windows, with Physics package version 301.

There is some strange issue in parsing somewhere.  This works

```r:='r'; u:='u'; t:='t';theta:='theta';k:='k';
k:=1/25;
pde := diff(u(r,theta,t),t)=k*(diff(u(r,theta,t),r\$2) + 1/r*diff(u(r,theta,t),r)+1/r^2*diff(u(r,theta,t),theta\$2));
bc1:= eval(diff(u(r,theta,t),r),r=1)=0;
bc2:= u(r,0,t)=0, u(r,Pi,t)=0;
ic := u(r,theta,0)=(r-1/3*r^3)*sin(theta);
sol:=pdsolve([pde, bc1, bc2, ic], u(r, theta, t),HINT = boundedseries(r = [0]));
```

No problem with the above, pdsolve gives solution. Now if I change k from 1/25 to 1, it gives parsing error in map

```k:=1;
pde := diff(u(r,theta,t),t)=k*(diff(u(r,theta,t),r\$2) + 1/r*diff(u(r,theta,t),r)+1/r^2*diff(u(r,theta,t),theta\$2));
bc1:= eval(diff(u(r,theta,t),r),r=1)=0;
bc2:= u(r,0,t)=0, u(r,Pi,t)=0;
ic  := u(r,theta,0)=(r-1/3*r^3)*sin(theta);
sol := pdsolve([pde, bc1, bc2, ic], u(r, theta, t),HINT = boundedseries(r = [0]));
```

Error, (in assuming) invalid input: map expects 2 or more arguments, but received 1

any K value less than one works.

Now I change K from 1 to 2, the error goes away. But no solution. Which is OK.

Why does the map error shows up when k=1 only? Same error shows up if K is missing all togother, as in

```r:='r'; u:='u'; t:='t';theta:='theta';k:='k';
pde := diff(u(r,theta,t),t)=diff(u(r,theta,t),r\$2) + 1/r*diff(u(r,theta,t),r)+1/r^2*diff(u(r,theta,t),theta\$2);
bc1:= eval(diff(u(r,theta,t),r),r=1)=0;
bc2:= u(r,0,t)=0, u(r,Pi,t)=0;
ic  := u(r,theta,0)=(r-1/3*r^3)*sin(theta);
sol := pdsolve([pde, bc1, bc2, ic], u(r, theta, t),HINT = boundedseries(r = [0]));
```

Error, (in assuming) invalid input: map expects 2 or more arguments, but received 1

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