Discussion. Given an initial value problemy′ + p(t)y = q(t), y(t0) = y0 ,the interval of validity is the largest interval that contain t0 and does not containany discontinuity for p(t) or q(t). The existence and uniqueness theorem guaranteesthere is a unique solution on the interval of validity.Problem: Without solving, determine the interval of validity for the initial valueproblem(t2 − 9)y′ + 2y = ln |20 − 4t| , y(4) = −3.

Question
Asked Jan 28, 2019
3 views

Discussion. Given an initial value problem
y
′ + p(t)y = q(t), y(t0) = y0 ,
the interval of validity is the largest interval that contain t0 and does not contain
any discontinuity for p(t) or q(t). The existence and uniqueness theorem guarantees
there is a unique solution on the interval of validity.
Problem: Without solving, determine the interval of validity for the initial value
problem
(t
2 − 9)y
′ + 2y = ln |20 − 4t| , y(4) = −3.

check_circle

Expert Answer

Step 1

We need to find the interval of validity for the initial value problem given below.

fullscreen
Step 2

Divide the coefficient of derivative to change the given equation to the general form,

fullscreen
Step 3

By comparing this equation wit...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Show that λis a root of char(x) if and only if there exosts a non-zero vector v in V with L(v)=λv

A: Assume that λ is a root of charL(x) then | λIdv–L | = 0. It is known that, the system of Bx = 0 has ...

question_answer

Q: Find the diameters of the flip graphs of the point sets. (Look at the two point sets in the attached...

A: To find the maximum length of paths over all pairs of points in the given graphs

question_answer

Q: Abstract Algebra Proofs: Help a desperate college student out please.

A: Click to see the answer

question_answer

Q: 3. Suppose f(z) is continuous in the closed disk {려くR) and analytic in the open disk {|z| < R). Show...

A: To extend Cauchy's theorem to the boundary of the domain of anaylyticity ,under the given conditions

question_answer

Q: Verify that the Cauchy-Riemann equations are satisfied for the following functions. Where z is a com...

A: To verify the Cauchy -Riemann equations for the given analytic functions f(z)

question_answer

Q: Abstract Algebra (Proof writing): Looking for assistance on this problem please.

A: We claim that Φ is a well defined mapping and that Φ is an isomorphism.Thus we need to check the fol...

question_answer

Q: Abstract Algebra

A: To define the concept of a subfield of a field and prove the stated property regarding subfields of ...

question_answer

Q: Pls explain to me step by step and dont skip any steps. pls write clearly.  i will rate your answer ...

A: To compute the matrix e^tA and use it to solve the given matrix initial value problem

question_answer

Q: Using any method you wish calculate the following function: g(x) = (27)-12 exp(-t2 / 2)dt Recall the...

A: To convert the evaluation of the definite integral to an initial value problem in ordinary different...