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1. X Asin (ot + B)

1. X Asin (ot + B)

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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OBTAIN A FAMILY OF SOLUTIONS. 1. X Asin (ot + B) 2. y'+ yCotx = SeCosx 3. (y*e*" + 4x*)dx + (2ryey" - 3y²)dy = 0 4. Find the Differential Equation and Orthagonal Equation of the family of parabolas with vertex and focus on the x-axis. 5. A celestial body has a diameter of approximately 15,200km. Determine the velocity of escape of this body in m/sec using the acceleration due to gravity of 5.20g with g based on the gravity of the earth. 6. A metal bar has a temperature of 100°F is placed in a room at a constant temperature of 0°F, If after 20 mins. the temperature of the bar is 50F, find: a) an expression for the temperature of the bar at any time t: b) the time it will take the bar to reach a temperature of 25 F; c) temperature of the bar after 40 mins. 7. (D? + D- 2) y = 2x - 40 cos(2x)
Transcribed Image Text:OBTAIN A FAMILY OF SOLUTIONS. 1. X Asin (ot + B) 2. y'+ yCotx = SeCosx 3. (y*e*" + 4x*)dx + (2ryey" - 3y²)dy = 0 4. Find the Differential Equation and Orthagonal Equation of the family of parabolas with vertex and focus on the x-axis. 5. A celestial body has a diameter of approximately 15,200km. Determine the velocity of escape of this body in m/sec using the acceleration due to gravity of 5.20g with g based on the gravity of the earth. 6. A metal bar has a temperature of 100°F is placed in a room at a constant temperature of 0°F, If after 20 mins. the temperature of the bar is 50F, find: a) an expression for the temperature of the bar at any time t: b) the time it will take the bar to reach a temperature of 25 F; c) temperature of the bar after 40 mins. 7. (D? + D- 2) y = 2x - 40 cos(2x)
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