organ

/orɡan/

Cases

SingularPluralWhen to use it
nominativeorganthe organorganlathe organsthe plain dictionary form — the doer of the sentence
genitiveorgannıthe organ'sorganlanıthe organs'the owner — whose it is
accusativeorgannıthe organ (as the object)organlanıthe organs (as the object)a specific, known object — whom or what
dativeorgangato the organorganlağato the organsdirection or recipient — to where, to whom
locativeorgandaat / in the organorganladaat / in the organswhere it is; also having — mende bar, "I have it"
ablativeorgandanfrom the organorganladanfrom the organswhere it comes from; also "than" when comparing
When to use each case
nominative
the plain dictionary form — the doer of the sentence
genitive
the owner — whose it is
accusative
a specific, known object — whom or what
dative
direction or recipient — to where, to whom
locative
where it is; also having — mende bar, "I have it"
ablative
where it comes from; also "than" when comparing

The endings are the same ones the pronouns wear — that page explains when each case is used.

With an owner

One ownedSeveral owned
myorganımmy organorganlarımmy organs
yourorganıngyour organorganlarıngyour organs
his / herorganıhis / her organorganlarıhis / her organs
ourorganıbızour organorganlarıbızour organs
you all'sorganığızyou all's organorganlarığızyou all's organs
theirorganlarıtheir organorganlarıtheir organs

The overlap in the last rows is real, not a mistake: organları can mean "his / her organs", "their organ", or "their organs" — context decides.