y-2xp+ayp^2 solve the equation
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y-2xp+ayp^2 solve the equation smallery-2xp+ayp^2 solve the equation smaller
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There's a correction to be made in the question.
The correct question is: y = yp² + 2px
The required value is 2x√(1 – cx) + cxy = 0.
GIVEN: y = yp² + 2px
TO FIND Solution to the given equation.
SOLUTION:
As we are given,
y = yp² + 2px
y = 2px/(1 – p²)
Differentiating the above equation with respect to x.
2dp/p(p²-1) = dx/x
(1/p-1 + 1/p+1 - 2/p)dp = dx/x
Integrating the above equation,
We get,
log lp-1l + log lp+1l - loglp²l
= loglxl + log c
= log l p²-1/p² l
= logl cx l
= p²-1/p²
= cx
= p² - 1
= p²cx
= p²(1-cx)
= 1
p² = (1/1-cx)
p² = √1/(1-cx)
2x√(1 – cx) + cxy = 0
Therefore, the required solution is 2x√(1 – cx) + cxy = 0
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