Let y=y(x) be the solution of the differential equation dy/dx=(1+x+x²)(1-y+y²), y(0)=1/2. Then (2y(1)-1) is equal to

Differential Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 4 Apr, Morning shift · Q20

JEE Main 20264 Apr, Morning shiftMathematicsEasyDifferential Equations163× since 2002

Let

y=y(x)

be the solution of the differential equation

\frac{dy}{dx}=(1+x+x^2)(1-y+y^2)

y(0)=\frac12

. Then

(2y(1)-1)

is equal to

JEE Main 2026 · 4 Apr, Morning shift · Q20

JEE Main 20264 Apr, Morning shiftMathematicsEasyDifferential Equations163× since 2002

Let

y=y(x)

be the solution of the differential equation

\frac{dy}{dx}=(1+x+x^2)(1-y+y^2)

y(0)=\frac12

. Then

(2y(1)-1)

is equal to