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    Differential Equations and Normal Line

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    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)

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    Solution Summary

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