Q3// The question in the image Given the following differential equation:Y – 7æ² sin²(ny") = 7x² cos (Ty/")What is y (2) if y(0) = 9?(Please give your answer with four decimals.)Answer:

Name: Q3// The question in the image Given the following differential equati
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Q3// The question in the image Given the following differential equation:Y – 7æ² sin²(ny") = 7x² cos (Ty/")What is y (2) if y(0) = 9?(Please give your answer with four decimals.)Answer:

Answered: Given the following differential…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Topic Video

Question

100%

Q3// The question in the image

Given the following differential equation:
Y – 7æ² sin²(ny") = 7x² cos (Ty/")
What is y (2) if y(0) = 9?
(Please give your answer with four decimals.)
Answer:

Expert Solution

Step 1

We need to find the solution of the following given differential equation.

Step 2

The important key: sin²t + cos²t = 1.

Here,

y' - 7x² sin²(πy'') = 7x² cos²(πy'')

=> y' = 7x² sin²(πy'') + 7x² cos²(πy'')

=> y' = 7x² (sin²(πy'') + cos²(πy''))

=> y' = 7x² (1)

=> y' = 7x²

Step by step

Solved in 3 steps with 2 images

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated