Math, asked by statuszone249, 1 month ago

y-2xp+ayp^2 solve the equation ​

Answers

Answered by chinnuchinni147
0

Answer:

y-2xp+ayp^2 solve the equation smallery-2xp+ayp^2 solve the equation smaller

Answered by Sanav1106
0

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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