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
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Expert Solution
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
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