What is the solution for (dy)/(dx)=10sqrt(y) ?

The solution for (dy)/(dx)=10sqrt(y) is y=25x^2+5c_{1}x+(c_{1}^2)/4

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(dy)/(dx)=10sqrt(y)

\frac{d y}{d x} = 10 y

y = 25 x^{2} + 5 c_{1} x + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 10 y

Solve separable ODE:

y = 25 x^{2} + 5 c_{1} x + \frac{c _{1}^{2}}{4}

y = 25 x^{2} + 5 c_{1} x + \frac{c _{1}^{2}}{4}

n = 1 \sum \infty \frac{2 n}{n + 3}

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

y = x^{2}, x + y = 2

y^{^{'}} + \frac{1}{2} \cdot y = \frac{3}{2} \cdot t

B (x - 2)^{2} x^{2}

What is the solution for (dy)/(dx)=10sqrt(y) ?
The solution for (dy)/(dx)=10sqrt(y) is y=25x^2+5c_{1}x+(c_{1}^2)/4