Exhibit 3.437

Delaware

The First State

I, JEFFREY W. BULLOCK, SECRETARY OF STATE OF THE STATE OF DELAWARE, DO HEREBY CERTIFY THE ATTACHED IS A TRUE AND CORRECT COPY OF THE CERTIFICATE OF FORMATION OF “WOODS MEMORIAL HOSPITAL, LLC”, FILED IN THIS OFFICE ON THE TWENTY-FOURTH DAY OF MAY, A.D. 2012, AT 2:52 O’CLOCK P.M.

		/s/ Jeffrey W. Bullock
5159764 8100 120629402 You may verify this certificate online at corp.delaware.gov/authver.shtml		Jeffrey W. Bullock, Secretary of State AUTHENTICATION: 9599380 DATE: 05-25-12

1

State of Delaware

Secretary of State

Division of Corporations

Delivered 03:11 PM 05/24/2012

FILED 02:52 PM 05/24/2012

SRV 120629402 – 5159764 FILE

CERTIFICATE OF FORMATION

OF

WOODS MEMORIAL HOSPITAL, LLC

Pursuant to Section 18-201 of the Delaware Limited Liability Company Act (the “Act”), the undersigned, desiring to form a limited liability company, does hereby certify as follows:

1.The name of the limited liability company is Woods Memorial Hospital, LLC (the “Company”).

2.The address of the Company’s registered office in the State of Delaware is Corporation Trust Center, 1209 Orange Street, in the City of Wilmington, County of New Castle, Delaware 19801. The name of its registered agent at such address is The Corporation Trust Company.

3.This Certificate of Formation shall be effective upon filing with the Delaware Secretary of State.

IN WITNESS WHEREOF, the undersigned has executed this Certificate of Formation on this 24th day of May, 2012.

/s/ Christy S. Green

Christy S. Green

Authorized Person