Advanced Engineering Mathematics, 7th Edition

3 Chapter in Review Answers to selected odd-numbered problems begin on page ANS-8.

Answer Problems 1−8 without referring back to the text. Fill in the blank or answer true/false.

1. The only solution of the initial-value problem y″ + x²y = 0, y(0) = 0, y′(0) = 0 is .
2. For the method of undetermined coefficients, the assumed form of the particular solution y_p for y″ − y = 1 + e^x is .
3. A constant multiple of a solution of a linear differential equation is also a solution.
4. If f₁ and f₂ are linearly independent functions on an interval I, then their ...