What is the solution for (dy)/(dx)=ysqrt(x) ?

The solution for (dy)/(dx)=ysqrt(x) is y=e^{2/3 x^{3/2}+c_{1}}

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(dy)/(dx)=ysqrt(x)

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

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

\frac{d}{d x} ((10 - 5 x^{2})^{\frac{4}{3}})

f (x) = 7 x - 7 x

n = 3 \sum \infty 2 n + 5

ln (x + 4 + e^{- 3 x})

What is the solution for (dy)/(dx)=ysqrt(x) ?
The solution for (dy)/(dx)=ysqrt(x) is y=e^{2/3 x^{3/2}+c_{1}}