Separate variables and use partial fractions to solve the initial value problem. Use either the exact solution or a​ computer-generated slope field to sketch the graphs of several solutions of the given differential​ equation, and highlight the indicated particular solution. dx/dt=-6(x^2-x) , x(0)=2

Separate variables and use partial fractions to solve the initial value problem Use either the exact solution or a computergenerated slope field to sketch the g class=