4 sin(0) cos(0) + 2 cos(0) - 2 sin(0) - 1 = 0 Step 1 Begin by factoring the expression on the left. 4 sin(0) cos(0) + 2 cos(0) - 2 sin(0) - 1 = 0 (2 cos(0) - 1) 2 sin(0) + 1 Step 2 Now, set each factor equal to 0 and solve for 0. 2 sin(0) + 1 = 0 0 = 2 sin(0) = -1 sin(0) = 1 2 2 sin(0) + 1 ]) = ⁰ 0 1 2 2 cos(0) 1 = 0 2 cos(0) = 1 cos(0) = 2 1 2 Step 3 Because integer multiples of 2, added to the four values in the interval [0, 2) that meet this criteria, will give you all solutions for 0, it follows that for any integer k, we have the following.
4 sin(0) cos(0) + 2 cos(0) - 2 sin(0) - 1 = 0 Step 1 Begin by factoring the expression on the left. 4 sin(0) cos(0) + 2 cos(0) - 2 sin(0) - 1 = 0 (2 cos(0) - 1) 2 sin(0) + 1 Step 2 Now, set each factor equal to 0 and solve for 0. 2 sin(0) + 1 = 0 0 = 2 sin(0) = -1 sin(0) = 1 2 2 sin(0) + 1 ]) = ⁰ 0 1 2 2 cos(0) 1 = 0 2 cos(0) = 1 cos(0) = 2 1 2 Step 3 Because integer multiples of 2, added to the four values in the interval [0, 2) that meet this criteria, will give you all solutions for 0, it follows that for any integer k, we have the following.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,