What is the solution for (dy)/1 =(dx)/(1+y) ?

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

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(dy)/1 =(dx)/(1+y)

\frac{d y}{1} = \frac{d x}{1 + y}

y = - 1 + 2 (x + c_{1}) + 1, y = - 2 (x + c_{1}) + 1 - 1

Solution steps

\frac{d y}{1} = \frac{d x}{1 + y}

Solve separable ODE:

y = - 1 + 2 (x + c_{1}) + 1, y = - 2 (x + c_{1}) + 1 - 1

y = - 1 + 2 (x + c_{1}) + 1, y = - 2 (x + c_{1}) + 1 - 1

\frac{d x}{d t} = - k x, x (0) = 5

\frac{d y}{d x} = (2 y + 1)^{2} x e^{- x}

\frac{d x}{d t} = - 300 \cdot \frac{x}{1 0 ^{8}}

y^{^{'}} + \frac{x}{1 + x ^{2}} \cdot y = \frac{2 x}{1 + x ^{2}}

\frac{d y}{d x} + 9 x y = 8 x, y (0) = 2

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