1. Solve the following differential equations: a) du dy 2x + dx 14x²y = xy², y(0)=1 b) x - y = 4x³y-¹ cos(x) dy dx
1. Solve the following differential equations: a) du dy 2x + dx 14x²y = xy², y(0)=1 b) x - y = 4x³y-¹ cos(x) dy 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
![1. Solve the following differential equations:
a) du
dy
b) x
dx
2.r
1² / 2Y = xy², y(0)=1
- y = 4x³y¯¹cos(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13b8e596-45c0-434d-ab2b-ea5ebc953e71%2Ff5e6cb44-4547-4a8c-aaa8-d75d56589a05%2Fr8zajjr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Solve the following differential equations:
a) du
dy
b) x
dx
2.r
1² / 2Y = xy², y(0)=1
- y = 4x³y¯¹cos(x)
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