If y=y(x) is the solution of the differential equation x \frac{d y}{d x}+2 y=x e^x, y(1)=0 then the local maximum value of the function z(x)=x^2 y(x)-e^x, x \in R is : [26-Jun-2022-Shift-2]

JEE Main 26 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 9 of 90

Marks: +1, -0

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

+2y=xex,y(1)=0 then the local maximum value of the function z(x)=x2y(x)−ex,x∈R is :

[26-Jun-2022-Shift-2]

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