EC > GATE 2025 > Ordinary Differential Equations
The function y(t) satisfies t2y'(t)-2ty'(t)+2y(t)=0, where y'(t) and y'(t) denote the first and second derivatives of y(t), respectively.
Given y'(0)=1 and y'(1)=-1, the maximum value of y(t) over [0,1] is ______ (rounded off to two decimal places).
Given y'(0)=1 and y'(1)=-1, the maximum value of y(t) over [0,1] is ______ (rounded off to two decimal places).
Correct : 1.0
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