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Question 1 Show that y= Question 2 Given that 7 7 5 5 e -15x dy is a particular solution for +15y-21=0. dx dy (3x²y-cos x)+(x²-sin y) = 0. dx a) Test the exactness of the equation. b) Solve the given differential equation. Question 3 Find particular solution of the following initial value problem: 2.x dy xe dx -; y(0)=3. 2y (Hint: Apply tabular method to solve S 2x xedx)

Question 1 Show that y= Question 2 Given that 7 7 5 5 e -15x dy is a particular solution for +15y-21=0. dx dy (3x²y-cos x)+(x²-sin y) = 0. dx a) Test the exactness of the equation. b) Solve the given differential equation. Question 3 Find particular solution of the following initial value problem: 2.x dy xe dx -; y(0)=3. 2y (Hint: Apply tabular method to solve S 2x xedx)

Advanced Engineering Mathematics
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 Show that y= Question 2 Given that 7 7 5 5 e -15x dy is a particular solution for +15y-21=0. dx dy (3x²y-cos x)+(x²-sin y) = 0. dx a) Test the exactness of the equation. b) Solve the given differential equation. Question 3 Find particular solution of the following initial value problem: 2.x dy xe dx -; y(0)=3. 2y (Hint: Apply tabular method to solve S 2x xedx)
Transcribed Image Text:Question 1 Show that y= Question 2 Given that 7 7 5 5 e -15x dy is a particular solution for +15y-21=0. dx dy (3x²y-cos x)+(x²-sin y) = 0. dx a) Test the exactness of the equation. b) Solve the given differential equation. Question 3 Find particular solution of the following initial value problem: 2.x dy xe dx -; y(0)=3. 2y (Hint: Apply tabular method to solve S 2x xedx)
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