What is the solution for y=2(x+y)(dy)/(dx) ?

The solution for y=2(x+y)(dy)/(dx) is y=(1+sqrt(c_{1)x+1})/(c_{1)},y=(1-sqrt(c_{1)x+1})/(c_{1)}

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y=2(x+y)(dy)/(dx)

y = 2 (x + y) \frac{d y}{d x}

y = \frac{1 + c _{1} x + 1}{c _{1}}, y = \frac{1 - c _{1} x + 1}{c _{1}}

Solution steps

y = 2 (x + y) \frac{d y}{d x}

Solve exact ODE:

y = \frac{1 + c _{1} x + 1}{c _{1}}, y = \frac{1 - c _{1} x + 1}{c _{1}}

y = \frac{1 + c _{1} x + 1}{c _{1}}, y = \frac{1 - c _{1} x + 1}{c _{1}}

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\frac{d}{d x} ((sin (x) + cos (x))^{3})

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What is the solution for y=2(x+y)(dy)/(dx) ?
The solution for y=2(x+y)(dy)/(dx) is y=(1+sqrt(c_{1)x+1})/(c_{1)},y=(1-sqrt(c_{1)x+1})/(c_{1)}