Week 9 0B2 OLD

We use the substitution  $y=vx$  to solve what kinds of ODEs.

• d) All the terms of N(x,y) have total degree m.

What is a homogeneous ODE?

Why does the substitution y=vx, where v is another variable that depends on x, help to solve homogeneous ODEs.

• a) It is a solution of the ODE.

• b) It converts the ODE into a directly integrable one in the variables x and v.

• c) It converts the ODE into a first order one in the variables x and v.

• d) It converts the ODE into a separable one in the variables x and v.

• a) Yes

• b) No

• a) It is homogeneous.

• b) It is separable.

• c) It is not homogeneous.

• d) It is not separable.