Question #223860

Find the integral surface of x(y^2+z)p-y( x^2+z)q=(x^2-y^2)z through the straight through the x+y = 0,z = 1.

Expert's answer

Lagrange’s auxiliary equations of are

thus, the solution is the system of equations:

Taking as a parameter, the given equation of the dtraight line can be put in parametric form .

Using this,

may be re-written as

Eliminating from the equations , we have

Putting values of and, the desired integral surface is

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