Pure Flashcards
1
Q
General solution for tan?
A
- theta + pi n
2
Q
General solution for cos?
A
- plus minus theta + 2pi n
3
Q
General solution for sin?
A
- theta + 2 pi n
- (pi - theta) + 2 pi n
4
Q
General solution for real and distinct roots?
A
-y = Ae^ax + Be^bx
5
Q
General solution for real and repeated roots?
A
-y = e^ax (Ax+B)
6
Q
General solution for imaginary?
A
-y = e^px(Acosqx +B sinqx)
7
Q
Particular integral equations?
A
- constant = λ
- linear = λx + μ
- quadratic =λx^2 +μx +μ
-Exponential = λe^qx
-involving sin or cos = a cos px + bsinpx
8
Q
dy/dx + p(x)y = Q(x) ?
A
- dy/dx + py =Q
- I = e^∫P dx
-I y = ∫ IQ
9
Q
cos and sin with negativew
A
sin spits cos swallows
10
Q
mean value y square dd or jus y?
A
just y
11
Q
volumes of revolution
A
square
12
Q
Sinh 2x?
A
e^2x - e^-2x / 2
13
Q
Word to use when you cant have negative for a log?
A
- undefined
14
Q
sec^2?
A
1 + tan^2
15
Q
cosec^2?
A
1+ cot^2
