What is the solution for (dy)/(dx)=5y^2cos(x) ?

The solution for (dy)/(dx)=5y^2cos(x) is y=-1/(5sin(x)+c_{1)}

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(dy)/(dx)=5y^2cos(x)

\frac{d y}{d x} = 5 y^{2} cos (x)

y = - \frac{1}{5 sin ( x ) + c _{1}}

Solution steps

\frac{d y}{d x} = 5 y^{2} cos (x)

Solve separable ODE:

y = - \frac{1}{5 sin ( x ) + c _{1}}

y = - \frac{1}{5 sin ( x ) + c _{1}}

What is the solution for (dy)/(dx)=5y^2cos(x) ?
The solution for (dy)/(dx)=5y^2cos(x) is y=-1/(5sin(x)+c_{1)}