id,node_id,number,title,user,state,locked,assignee,milestone,comments,created_at,updated_at,closed_at,author_association,active_lock_reason,draft,pull_request,body,reactions,performed_via_github_app,state_reason,repo,type
377356113,MDU6SXNzdWUzNzczNTYxMTM=,2542,"full_like, ones_like, zeros_like should retain subclasses",500246,closed,0,,,4,2018-11-05T11:22:49Z,2023-11-05T06:27:31Z,2023-11-05T06:27:31Z,CONTRIBUTOR,,,,"#### Code Sample,

```python
# Your code here
import numpy
import xarray

class MyDataArray(xarray.DataArray):
    pass

da = MyDataArray(numpy.arange(5))
da2 = xarray.zeros_like(da)
print(type(da), type(da2))

```
#### Problem description

I would expect that `type(da2) is type(da)`, but this is not the case.  The type of `da` is always `<class 'xarray.core.dataarray.DataArray'>`.  Rather, the output of this script is:

```<class '__main__.MyDataArray'> <class 'xarray.core.dataarray.DataArray'>```

#### Expected Output

I would hope as an output:

```<class '__main__.MyDataArray'> <class '__main__.MyDataArray'>```

In principle changing this could break people's code, so if a change is implemented it should probably be through an optional keyword argument to the `full_like`/`ones_like`/`zeros_like` family.

#### Output of ``xr.show_versions()``

<details>
INSTALLED VERSIONS
------------------
commit: None
python: 3.7.0.final.0
python-bits: 64
OS: Linux
OS-release: 2.6.32-754.el6.x86_64
machine: x86_64
processor: x86_64
byteorder: little
LC_ALL: None
LANG: en_GB.UTF-8
LOCALE: en_GB.UTF-8

xarray: 0.10.7
pandas: 0.23.2
numpy: 1.15.2
scipy: 1.1.0
netCDF4: 1.4.0
h5netcdf: 0.6.1
h5py: 2.8.0
Nio: None
zarr: None
bottleneck: 1.2.1
cyordereddict: None
dask: 0.18.1
distributed: 1.22.0
matplotlib: 3.0.0
cartopy: 0.16.0
seaborn: 0.9.0
setuptools: 39.2.0
pip: 18.0
conda: None
pytest: 3.2.2
IPython: 6.4.0
sphinx: None

</details>
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