Consider the first order differential equation dy/dt = f(t,y)= -16t^3y^2, with the inital condition y(0)=1. Estimate the lipschitz derivative for the differential equation by substituting the exact solution into ∂f/∂y. =I found the exact solution by using the separable of variable and doing integration which is y(t)= (4t^4 +1)^-1 And also i found the ∂f/∂y = -32yt^3 The question ask about by substituting the exact solution into ∂f/∂y to estimate the lipschitz derivative. I don't know how to substitute. Does anyone knows about lipschitz derivative? Help me Please.