MEC702_Lab_Test

# MEC702_Lab_Test - MEC702 Lab Test Weight 10 Marks total 30...

• Test Prep
• 2

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MEC702 Lab Test Weight: 10% Marks: total 30 marks (2 marks each question) Duration: 60 mins Software: MATLAB Instructions: You are required to write down the the 1. Solve the following second-order IVPs. (a) y 00 + 25y = 0, y(0) = 4.6, y 0 (0) = −1.2. (b) y 00 + y 0 − 6y = 0, y(0) = 10, y 0 (0) = 0. (c) x2 y 00 − 4xy 0 + 6y = 0, y(1) = 0.4, y 0 (1) = 0. Solution: (a) (b) (c) 2. Find the rst derivative of the following functions. (a) y = x2 cos x. (b) y = 3x+2 x2 +1 . Solution: (a) (b) 3. Integrate the following functions. (a) ´ e−t sin 2tdt. ´ √ (b) t t2 + 1dt. Solution: (a) (b) 1 output solution given by the program. 4. Find the eigenvalues and eigenvectors of the follow matrices.   2 1 (a) A = . 5 −2   0 1 (b) A = . −9 0 Solution: (a) (b) 5. Find the Laplace transform of the following functions. 1 sin 10t. (a) f (t) = 10 2 2t (b) f (t) = t e . Solution: (a) (b) 6. Evaluate the inverse Laplace transform. (a) (b) 1 s(s2 +36) . 1 (s−2)(s−3) . Solution: (a) (b) 7. Plot the following functions over the indicated interval. (a) y = sin 2x over [0, 4π]. (b) y = −e−x over [−3, 3]. Graphs: 2 ...
View Full Document

• Winter '16
• Alveen Chand
• Laplace, 10%, Eigenvalue, eigenvector and eigenspace, following functions, 60 mins

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern