The general solution of the differential equation is

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

15. The general solution of the differential equation `

e^{x} d y+\left(y e^{x}+2 x\right) d x=0

` is (A) `

x e^{y}+x^{2}=\mathrm{C}

` (B) `

x e^{y}+y^{2}=\mathrm{C}

` (C) `

y e^{x}+x^{2}=\mathrm{C}

` (D) `

y e^{y}+x^{2}=\mathrm{C}