Question

solve the equation by charpit's or jacobi's method px+qy=pq

Answer 1

Simplifying
px + qy = pq

Solving
px + qy = pq

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-1pq' to each side of the equation.
px + -1pq + qy = pq + -1pq

Reorder the terms:
-1pq + px + qy = pq + -1pq

Combine like terms: pq + -1pq = 0
-1pq + px + qy = 0

Add '-1qy' to each side of the equation.
-1pq + px + qy + -1qy = 0 + -1qy

Combine like terms: qy + -1qy = 0
-1pq + px + 0 = 0 + -1qy
-1pq + px = 0 + -1qy
Remove the zero:
-1pq + px = -1qy

Combine like terms: -1qy + qy = 0
-1pq + px + qy = 0

The solution to this equation could not be determined.