First-Order Nonlinear Equations with Two Independent Variables of Gene

Chapter

First-Order Nonlinear Equations with Two Independent Variables of General Form

ABSTRACT

Complete integrals:

w = 4 5b (bx + aC1 + c)

5/4 + C1y + C2, w = aC1x – bxy – cy

a –

(aC1 – by)5 5a5b

+ C2.

2. ( ∂w

∂x

)4 = a

∂w

∂y + by + c.

Complete integral: w = C1x – y(by + 2c – 2C41 )

2a + C2.

3. ( ∂w

∂x

)4 + a

∂w

∂y = bxk.