Answer:
Step-by-step explanation:
(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.
(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.
(C) Example of a second order linear ODE:
M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)
The equation will be homogeneous if K(t)=0 and heterogeneous if 
Example of a second order nonlinear ODE:

(D) Example of a nonlinear fourth order ODE:
![K^4(x) - \beta f [x, k(x)] = 0](https://tex.z-dn.net/?f=K%5E4%28x%29%20-%20%5Cbeta%20f%20%5Bx%2C%20k%28x%29%5D%20%3D%200)
It's 59 millimeters long. Hope this helps.
Answer:
m<R ≈ 22.62°
Step-by-step explanation:
Reference angle = R
Side opposite to R = 5 cm
Adjacent side length = 12 cm
Thus, applying TOA, we have:
Tan R = opp/adj
Tan R = 5/12
R = tan^{-1}(5/12)
R ≈ 22.62° (nearest hundredth)
Answer:
57.98 yards
Step-by-step explanation:
When the ball is on the ground, the height is
, therefore:






Since distance cannot be negative, the ball landed 57.98 yards down the field from where the goalie kicked the ball.