ABSTRACT
General solution: a ∫
dw
cwn + swm = x + Φ(bx – ay).
2. ∂w
∂x + k
∂w
∂y = (ax + by + cw)n + s.
The substitution v(x, y) = ax + by + cw(x, y) leads to an equation of the form 1.1.1.1 with m = 0:
∂v
∂x + k
∂v
∂y = cvn + a + bk + cs.
General solution: a ∫
dw
cwn + swm = x + Φ(bx – ay).
2. ∂w
∂x + k
∂w
∂y = (ax + by + cw)n + s.
The substitution v(x, y) = ax + by + cw(x, y) leads to an equation of the form 1.1.1.1 with m = 0:
∂v
∂x + k
∂v
∂y = cvn + a + bk + cs.