(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 $K(t)\neq 0$

Example of a second order nonlinear ODE:

$Y=-3K(Y){2}$

(D) Example of a nonlinear fourth order ODE:

$K^4(x) - \beta f [x, k(x)] = 0$

4 0

4 years ago

Please help. What are the measures of ∠a, ∠b, ∠c and ∠d? Explain how to find each of the angle measure.

MissTica

Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.

Angle A = 90 degrees

Angle A m B and the 59 forms a straight line which needs to equal 180

Angle B = 180 - 59 - 90 = 31

Angle B = 31 degrees.

Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.

Angle D is a vertical angle with 59, so equals 59 degrees.

4 0

3 years ago

Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2

Ronch [10]

Answer:

Step-by-step explanation:

y = (x-1)²

vertex (1,0)

y-intercept = (0-1)² = 1

5 0

3 years ago

Please help! The selected one is wrong

kirill [66]

Plug g(x) in for every x in f(x) then substitute 4, you’ll get (f o g)(4) = 34

8 0

3 years ago