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Question

If a curve satisfies ydxxdy+3x2 y2ex3 dx = 0 and y(0) = 1 then y(1)=


A

1 – e

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B

e – 1

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C

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D

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Solution

The correct option is D


d(xy)+d(ex3)=0

xy+ex3=c

x = 0, y=1

c=1

x = 1

1y+e=1

y = 11c


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