Ch. 7 Differential Equations - 4

Solutions of equations of first order and first degree

M + Ndy/dx = 0

Example 2x + 3y² dy/dx = 0

dy/dx is first order direvative of y and it has a power of 1 only.

we can write the given equation as
3y² dy/dx = -2x
3y² dy = -2xdx

∫ 3y² dy = ∫-2xdx

y³ = -x² + c is the solution to this equation