What is the solution for (dy)/(dx)=y^{1/2} ?

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

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(dy)/(dx)=y^{1/2}

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{72}{1 - cos ( 8 x )} d x

e^{- x^{4}}

\int \frac{1}{( 8 x + 9 ) ^{2}} d x

n = 1 \sum \infty (- 4)^{n}

\int sec (x) tan (x) - 4 e^{x} d x

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