у" + 25у %3D 0, у(0) 3 6, у'(0) 3D —4 Y(x) = | 5 cos( 5x) – sin(5x) sin (5x) x
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
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![Solve the given initial-value problem.
y" + 25y = 0, y(0) = 6, y'(0) = -4
6
У(x) %3D| 5 сos(5х)
— sin (5x)| х](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97c87b2f-eecc-421b-9599-27d468e13931%2F76d9edea-c023-44ad-8918-d1a0c3cb2e00%2Fm0fbr5o_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the given initial-value problem.
y" + 25y = 0, y(0) = 6, y'(0) = -4
6
У(x) %3D| 5 сos(5х)
— sin (5x)| х
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We have given differential equation
y"+25y=0
with initial conditions y(0) =6, y'(0) =-4
We have to find solution using,
step 1. Find indicial equation.
Step 2. Find roots.
Step 3. Find general solution.
Step 4. Using initial conditions find the value of constants.
Step 5. Substitute
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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