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Differential Equations and Normal Line

Question 1.

1) Find a vector normal to the surface z + 2xy = x2 + y2 at the point (1,1,0).

2) Determine if there are separable differential equations among the following ones and explain:

a) dy/dx=sin(xy),

b) dy/dx = (xy)/(X+y)

c) dr/d(theta) = (r^2+1)cos(theta)

3) Find the general solution of the differential equation

dy/dx = (3x^2)/ (y - sin y)

Solution Summary

This solution tells what is a separable differential equation and explains how to solve a separable differential equation.