What is the solution for (dy)/(dx)=ky^2ln(x),y(1)=-5 ?

The solution for (dy)/(dx)=ky^2ln(x),y(1)=-5 is y=-5/(5kxln(x)-5kx+1+5k)

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(dy)/(dx)=ky^2ln(x),y(1)=-5

\frac{d y}{d x} = k y^{2} ln (x), y (1) = - 5

y = - \frac{5}{5 k x ln ( x ) - 5 k x + 1 + 5 k}

Solution steps

\frac{d y}{d x} = k y^{2} ln (x)

Solve separable ODE:

y = - \frac{5}{5 k x ln ( x ) - 5 k x + 1 + 5 k}

y = - \frac{5}{5 k x ln ( x ) - 5 k x + 1 + 5 k}

What is the solution for (dy)/(dx)=ky^2ln(x),y(1)=-5 ?
The solution for (dy)/(dx)=ky^2ln(x),y(1)=-5 is y=-5/(5kxln(x)-5kx+1+5k)