Asked Aug 26, 2019

(a) Write a specifific example of a third order, linear, nonhomogeneous, autonomous ordinary

difffferential equation, such that every derivative that could appear, does appear.

(b) Turn your difffferential equation from part (a) into an initial value problem (IVP) by

assigning appropriate initial conditions.


Expert Answer

Step 1

a) An example of a third order, linear, nonhomogeneous ordinary differential equation is,


Image Transcriptionclose

y"+3y" +3y'= 5t

Step 2

b) The appropriate initial condition for t...


Image Transcriptionclose

y(0) 7.y' (0)-7,y' (0) = 11


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




Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: How can I get the result? Which is the result?

A: We have to find following limits.Question is given below:


Q: where do relative max/min occur? Why do we only get 30 questions a month???? What is the typical res...

A: Refer to the question,To find relative maxima for a function f at x=b,  if there exist an open inter...


Q: For the function ​f(x)=-3x^2 make a table of slopes of secant lines and make a conjecture about the ...

A: It is known that the slope of a secant line between points (a, f(a)) and (b, f(b)) is given by:


Q: Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector fi...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...


Q: find the critical numbers of the function g(theta) = 4(theta)-tan(theta). My question is from the sc...

A: Refer to the question as per screenshot provided, I have to answer the how the last step came.That i...


Q: Convert the double integral into a type II double integral

A: Click to see the answer


Q: 1. Estimate the volume of the solid that lies below the surface z = xy and above the following recta...

A: You have asked two unreleated questions in the same post. Further your first question has multiple s...


Q: Differentiate y = (s - sqrt(s) ) / s^2   I don't understand what happens on step 3 of the screenshot...

A: Here use quotient rule of differentiation which is,


Q: What is the integral of question 23 and why is the answer 0?

A: Let f(t)= t^4*tan t/(2+cos t)