If y = y(x) is the solution of the differential equation (5 + eˣ)/(2 + y).dy/dx + eˣ = 0 satisfying y(0) = 1, then a value of y(log e 13) is:

Differential Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Morning shift · Q3595

JEE Main 20205 Sep, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If y = y(x) is the solution of the differential equation

{{5 + {e^x}} \over {2 + y}}.{{dy} \over {dx}} + {e^x} = 0

satisfying y(0) = 1, then a value of y(log_e13) is :

JEE Main 2020 · 5 Sep, Morning shift · Q3595

JEE Main 20205 Sep, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If y = y(x) is the solution of the differential equation

{{5 + {e^x}} \over {2 + y}}.{{dy} \over {dx}} + {e^x} = 0

satisfying y(0) = 1, then a value of y(log_e13) is :