Chapter 17 · Ordinary Differential Equations

Undetermined Coefficients

For ay'' + by' + cy = g(x) with g a polynomial, exponential, sine or cosine, guess a particular solution of the same shape, solve for its coefficients, and add the homogeneous solution.

About 16 minutes

You'll learn to

→Write the general solution as y_h + y_p
→Choose the right form of guess for y_p
→Fix a guess that overlaps the homogeneous solution
→Recognize resonance

← 17.06 Second-Order Linear Equations 17.08 Variation of Parameters →

Undetermined Coefficients

You'll learn to

Undetermined Coefficients

You'll learn to

Unlock this lesson and every other topic

Unlock this lesson and every other topic