Let x=x(t) and y=y(t) be solutions of the differential equations { {\dx}}/{ {\dt}}+ {\ax}=0 and { {\dy}}/{ {\dt}}+ {\by}=0 respectively, {\a}, {\b} \in {\R}. Given that x(0)=2 ; y(0)=1 and 3 y(1)=2 x(1), the value of t, for which {\x}( {\t})= {\y}( {\t}), is : [27-Jan-2024 Shift 1]

JEE Main 27-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 3 of 90

Marks: +1, -0

Let x=x(t) and y=y(t) be solutions of the differential equations ‌

+ax=0‌‌ and ‌

+by=0 respectively, a,b∈R. Given that x(0)=2;y(0)=1 and 3y(1)=2x(1), the value of t, for which x(t)=y(t), is :

[27-Jan-2024 Shift 1]

Go to Question:

Prev Question

Next Question