Let y=y(x) be the solution of the differential equation dy dx + ( 6x^2+(3x^2+2x^3+4)e^ -2x (x^3+2)(2+e^ -2x )...

Question

Let y=y(x) be the solution of the differential equation dy dx + ( 6x^2+(3x^2+2x^3+4)e^ -2x (x^3+2)(2+e^ -2x ) )y = 2+e^ -2x , x∈(−1,2), satisfying y(0)=3/2. If y(1)=α(2+e⁻²), then α is equal to:

Accepted Answer

(D)

JEE Main 2026 Mathematics question

Solution

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