Can anyone help me choose the correct answer?!
1 answer:
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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:
Answer:
Option C. x = –9, x = –7
Step-by-step explanation:
we know that
In the rational function, the denominator cannot be equal to zero
so
In this problem
we have that the denominator is equal to
equate to zero
so
The solutions is x=-9 and x=-7
so
For x=-7 or x=-9 the denominator is equal to zero
therefore
x=-9, x=-7 are points of discontinuity for the rational function given