Differential Equations

Question 1

1st Order Linear ODE

Answer 1

y’ + P(t)y = G(t)

Question 2

1st Order Separable ODE

Answer 2

N(y)(dy/dx) = M(x)

Question 3

2nd Order Constant Coefficient Homogeneous Linear DE

Answer 3

ay”+by’+cy=0

Question 4

Principle of superposition

Answer 4

If y1(t) and y2(t) are two solutions to a linear, homogeneous DE, then so is y(t) = c1y1(t) + c2y2(t)

Question 5

Characteristic equation to a 2nd order, linear, constant coefficient DE

Answer 5

ar^2 + br + c = 0