What is the solution for (dy)/(dx)= y/(2sqrt(x)),y(4)=1 ?

The solution for (dy)/(dx)= y/(2sqrt(x)),y(4)=1 is y=e^{sqrt(x)-2}

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(dy)/(dx)= y/(2sqrt(x)),y(4)=1

\frac{d y}{d x} = \frac{y}{2 x}, y (4) = 1

y = e^{x - 2}

Solution steps

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

Solve separable ODE:

y = e^{x - 2}

y = e^{x - 2}

tan^{2} (2 x)

x \to 0 lim ((3 - 3 e^{- x})^{2})

\int \frac{e ^{9 x}}{x} d x

\frac{d}{d x} (cos (ln (9 x)))

\frac{d}{d x} (e^{x} (13 x^{2} - 26 x + 26))

What is the solution for (dy)/(dx)= y/(2sqrt(x)),y(4)=1 ?
The solution for (dy)/(dx)= y/(2sqrt(x)),y(4)=1 is y=e^{sqrt(x)-2}