Question

Solve: dy/dx-y^2=x^2-2xy​

Answer 1

Answer:

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Answer 2

Answer:

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Explanation:

Reduce the expression by cancelling the common factors.

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Cancel the common factor.

dydx−y2

Rewrite the expression.

yx−y2

To write −y21

as a fraction with a common denominator, multiply by xx

.

yx+−y21⋅xx=x2−2xy

Write each expression with a common denominator of x

, by multiplying each by an appropriate factor of 1

Combine.

yx+−y2x1x

Multiply x

by 1

.

yx+−y2xx

Combine the numerators over the common denominator.

y−y2xx=x2−2xy

Factor y

out of y−y2x

.

Raise y

to the power of 1

.

y1−y2xx

Factor y

out of y1

.

y⋅1−y2xx

Factor y

out of −y2x

.

y⋅1+y(−yx)x

Factor y

out of y⋅1+y(−yx).

y(1−yx)x