Question

Need Help! Please help me find the isoclines for dx/dt=t^3-x^3. Do I set dx/dt to M and then solve for t? Or x? Thanks

Answer 1

By isoclines, are you referring to the slope fields?

Answer 2

Well, a quick web search tells me yes.

To find a slope field, given a differential equation like this one, you just plug in different values of \(x\) and \(t\). For example, take \(x=0\) and \(t=0\). Then \(\dfrac{dx}{dt}=0\). So at the origin, the slope of a solution to the diff. eq. that passes through the origin will be 0.