What is the solution for (dy)/(dx)=5y^2,y(0)=3 ?

The solution for (dy)/(dx)=5y^2,y(0)=3 is y=-3/(15x-1)

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(dy)/(dx)=5y^2,y(0)=3

\frac{d y}{d x} = 5 y^{2}, y (0) = 3

y = - \frac{3}{15 x - 1}

Solution steps

\frac{d y}{d x} = 5 y^{2}

Solve separable ODE:

y = - \frac{3}{15 x - 1}

y = - \frac{3}{15 x - 1}

f (x) = x^{3} - 15 x, (1, - 14)

\frac{d}{d x} (\frac{10}{x})

\int \frac{y ln ( x )}{x} d x

\frac{1}{5 x}, at x = 9

\frac{1}{( ( 3 - 2 x ) )}

What is the solution for (dy)/(dx)=5y^2,y(0)=3 ?
The solution for (dy)/(dx)=5y^2,y(0)=3 is y=-3/(15x-1)