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

The solution for (dy)/(dx)=sqrt(2y) is y=(x^2)/2+(c_{1}x}{sqrt(2)}+\frac{c_{1}^2)/4

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(dy)/(dx)=sqrt(2y)

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

y = \frac{x ^{2}}{2} + \frac{c _{1} x}{2} + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

y = \frac{x ^{2}}{2} + \frac{c _{1} x}{2} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{2}}{2} + \frac{c _{1} x}{2} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=sqrt(2y) ?
The solution for (dy)/(dx)=sqrt(2y) is y=(x^2)/2+(c_{1}x}{sqrt(2)}+\frac{c_{1}^2)/4