Week 11 ODE 2 Flashcards
1
Q
what is the general solution to a 2nd order ODE with constant coefficients and non zero drive
A
complementary function + particular integral
2
Q
what does the particular integral depend upon
A
the specific form of f(x)
3
Q
if f(x) = Ae^ax what is the form of the particular integral
A
Be^ax
4
Q
if f(x) = a1cosax + a2sinax what is the form of the particular integral
A
b1cosax + b2sinax
5
Q
if f(x) = a0 + a1x + a2x^2 + … + anx^n what is the form of the particular integral
A
b0 + b1x + b2x^2 + … + bnx^n
6
Q
what is the procedure for solving a 2nd order ODE with constant coefficients and non zero drive
A
find the complementary function
find the particular integral
