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JEE Main & Advanced Mathematics Differential Equations Question Bank Numerical Value Type Questions - Differential Equations

  • question_answer
    Let \[f:[0,1]\to R\] be such that \[f(xy)=f(x).f(y),\] for all \[x,y\in [0,1],\] and \[f(0)\ne 0\]. If \[y=y(x)\] satisfies the differential equation, \[\frac{dy}{dx}=f(x)\] with \[y(0)=1,\] then \[y\left( \frac{1}{4} \right)+y\left( \frac{3}{4} \right)\]is equal to

    Answer:

    3


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