[Video Solution] Let f:[0,1]\to\mathbbR be such that f(xy)=f(x)\,f(y) for all x,y\in[0,1], and... | ASPIRE STUDY

Name: [Video Solution] Let f:[0,1]\to\mathbbR be such that f(xy)=f(x)\,f(y) for all x,y\in[0,1], and... | ASPIRE STUDY
Uploaded: 2026-10-02T01:01:07+00:00
Description: Let f:[0,1]\to\mathbbR be such that f(xy)=f(x)\,f(y) for all x,y\in[0,1], and f(0)\ne 0. If y=v(x) satisfies the differential equation \dfracdydx=f(x) with y(0)=1, then y\!\left(\dfrac14\right)+y\!\left(\dfrac34\right) is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.

Let f:[0,1]\to\mathbbR be such that f(xy)=f(x)\,f(y) for all x,y\in[0,1], and f(0)\ne 0. If y=v(x) satisfies the differential equation \dfracdydx=f(x) with y(0)=1, then y\!\left(\dfrac14\right)+y\!\left(\dfrac34\right) is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.

Published: 2026-10-02T01:01:07+00:00 Thumbnail: Open Page: https://www.aspirediary.com/library/video/15593/let-f-0-1-to-mathbbr-be-such-that-f-xy-f-x-f-y-for-all-x-y-in-0-1-and

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