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At any point on a curve , the slope of t...

At any point on a curve , the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point.If the curve passes through (0,1), then the equation of the curve is

A

`y=2e^(x^2/2)-1`

B

`y=2e^(x^2/2)`

C

`y=e^(-x^2)`

D

`y=2e^(-x^2)-1`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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