2) Solve the following differential equations d²v dx² x² R²₂ dx² a) b) dy +3. -54y=0, y(0) = 7,y(0) = -2 dx dy -2x +2y = x³, dx
2) Solve the following differential equations d²v dx² x² R²₂ dx² a) b) dy +3. -54y=0, y(0) = 7,y(0) = -2 dx dy -2x +2y = x³, dx
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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Question
![2) Solve the following differential equations
d²y dy
dx²
+354y= 0, y(0) = 7,y'(0) = −2
dx
a)
b)
dy
x2d²y
-2x=²+2y = x³,
dx² dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc05cf68-81ae-4970-8864-261fc4d70f9c%2Fe3b6e181-b317-4336-9737-fa791e17b3c2%2Fwpo4ixb_processed.png&w=3840&q=75)
Transcribed Image Text:2) Solve the following differential equations
d²y dy
dx²
+354y= 0, y(0) = 7,y'(0) = −2
dx
a)
b)
dy
x2d²y
-2x=²+2y = x³,
dx² dx
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