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Differential Equations final exam

Fifteen questions on all of Differential Equations. Answer all 15 to see your score. Questions are drawn from a bank of 45, so every attempt is different.

0 of 15 answered

Question 1 of 15

Which equation is linear first-order?

Question 2 of 15

The integrating factor of y' + (1/x) y = x is:

Question 3 of 15

An exact equation M dx + N dy = 0 satisfies:

Question 4 of 15

For y' = y(1 - y), the equilibrium y = 1 is:

Question 5 of 15

The characteristic equation of y'' + 6y' + 9y = 0 has:

Question 6 of 15

The solution of y'' + 16y = 0 is:

Question 7 of 15

For y'' - y = e^x, the particular solution guess is:

Question 8 of 15

A spring with m = 1, c = 2, k = 5 is:

Question 9 of 15

Resonance in an undamped spring occurs when:

Question 10 of 15

The general solution of y''' = 0 is:

Question 11 of 15

A Cauchy-Euler equation is solved with the trial function:

Question 12 of 15

y'' + lambda y = 0, y(0) = y(L) = 0 has eigenvalues:

Question 13 of 15

A power series solution about an ordinary point has which arbitrary coefficients?

Question 14 of 15

The Frobenius method applies at:

Question 15 of 15

Bessel functions arise from problems with:

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