Question Number 216982 by OmoloyeMichael last updated on 26/Feb/25

$$\boldsymbol{{Form}}\:\boldsymbol{{the}}\:\boldsymbol{{differential}}\:\boldsymbol{{equation}}\:\boldsymbol{{by}} \\ $$$$\boldsymbol{{eliminating}}\:\boldsymbol{{abitrary}}\:\boldsymbol{{constant}}. \\ $$$$\boldsymbol{{y}}^{\mathrm{2}} =\boldsymbol{{Ax}}^{\mathrm{2}} +\boldsymbol{{Bx}}+\boldsymbol{{C}} \\ $$