First Order Odes

When to Use

Use this skill when working on first-order-odes problems in odes pdes.

Decision Tree

1. Classify the ODE

   • Linear: y' + P(x)y = Q(x)?
   • Separable: y' = f(x)g(y)?
   • Exact: M(x,y)dx + N(x,y)dy = 0 with dM/dy = dN/dx?
   • Bernoulli: y' + P(x)y = Q(x)y^n?

2. Select Solution Method

   Type	Method
   Separable	Separate and integrate