Find y(x), if it satisfies the following differential equation dxdy=(x−y)2, and given that \displaystyle{y}

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Find {y}{({x})}, if it satisfies the following differential eq

Question

Find $y (x)$ , if it satisfies the following differential equation $\frac{d y}{d x} = (x - y)^{2}$ , and given that \displaystyle{y}

Find

y (x)

, if it satisfies the following differential equation

\frac{d y}{d x} = (x - y)^{2}

, and given that

y (1) = 1

(A)

- ln ∣ ∣ \frac{1 - x + y}{1 + x - y} ∣ ∣ = 2 (x - 1)

(B)

ln ∣ \frac{2 - y}{2 - x} = x + y - 1

(C)

ln ∣ ∣ \frac{1 - x + y}{1 + x - y} ∣ ∣ = 2 (x - 1)

(D)

\frac{1}{2} ln ∣ ∣ \frac{1 - x + y}{1 + x - y} ∣ ∣ + ln ∣ x ∣ = 0

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Find

y (x)

, if it satisfies the following differential equation

\frac{d y}{d x} = (x - y)^{2}

, and given that \displaystyle{y}

9 mins ago

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Question Text

Find

y (x)

, if it satisfies the following differential equation

\frac{d y}{d x} = (x - y)^{2}

, and given that \displaystyle{y}