Complete the description of a separable first-order ODE.

A separable ODE has the form dy/dx = ______. We solve it by bringing y-terms to one side: (1/ $h(y)$ ) $dy = g(x)$ dx, then integrating ______ sides independently.

Word bank: $g(x) \cdot h(y)$ · both · neither · $f(x+y)$

Hints

Separable means each variable can be gathered onto its own side.
The step that follows separation is integrating both sides.

Show the answer

A separable ODE has the form dy/dx = $g(x) \cdot h(y)$ . We solve it by bringing y-terms to one side: (1/ $h(y)$ ) $dy = g(x)$ dx, then integrating both sides independently.

Why

Separation works because variables can be moved independently to each side.

Read the lesson: Differential models in one variable →

Practise Differential models in one variable

The app has 9 more questions on this lesson, and keeps your place in the course. Physics I is free to start.

Start Physics I free Get it onGoogle Play

Complete the description of a separable first-order ODE.

Practise Differential models in one variable

More questions on Differential models in one variable