C2 - First-Order Equations

Falling-body equation (air resistance)

Separable equations

*It can be proven that separating dy and dx is valid

Linear equations (integrating factor)

*Standard form

Exact equations

Test for exactness

Special integrating factor

Homogeneous equation

can be expressed as a function of dy/dx alone

Bernoulli equations

• P(x) & Q(x) continuous on interval

• n is a real number