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

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

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(dy)/(dx)y=1

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d v}{d t} + \frac{- k v ( t )}{0.018} = - 9.81

\frac{d y}{d t} = - 0.06 y

y^{5} \frac{d y}{d x} = 2 x^{4} y^{6} - 6 x^{4}

\frac{y ^{2} d y}{d x} = x

(x^{2} + 1) (\frac{d y}{d x}) + 3 x (y - 1) = 0, y (0) = 5

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