What is the solution for (dy)/(dx)=((y+1))/(2x) ?

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

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(dy)/(dx)=((y+1))/(2x)

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

y = c_{1} x - 1

Solution steps

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

Solve separable ODE:

y = c_{1} x - 1

y = c_{1} x - 1

3 y^{2} (x - 3)^{2} \frac{d y}{d x} 3 y^{2} (x - 3)^{2} = k

\frac{d y}{d x} = e^{4 y + 6 x}

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

(3 + x^{8}) \frac{d y}{d x} = \frac{x ^{7}}{y}

\frac{d y}{d x} = \frac{- 3 x ^{2} y}{x - 1}

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