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Differential Equations question

2019 · 9 Jan · Shift 2 · Q41

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JEE Main
Mathematics
Differential Equations
2019 · 9 Jan · Shift 2 · Q41

Differential Equations question

2019 · 9 Jan · Shift 2 · Q41

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let f : [0,1]

\to

R be such that f(xy) = f(x).f(y), for all x, y

\in

[0, 1], and f(0)

e

0. If y = y(x) satiesfies the differential equation,

{{dy} \over {dx}}

= f(x) with y(0) = 1, then y

\left( {{1 \over 4}} \right)

+ y

\left( {{3 \over 4}} \right)

is equal to :

A
3
B
4
C
2
D
5

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