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1. We found a solution y=sinx for the following differential equation. y"+y=0 a. Use Reduction of Order to find another solution b. Find the general solution for the above differential equation 2. Find the general solutions by using the method of reduction of order - (1 - 2x)y" +2y' + (2x − 3)y = 0; y₁ = ex 3. Solve the following homogeneous differential equations a. x²y" - 2xy' + 2y = 0 b. x²y" xy' + y = 0 C. - - - (x − 2)²y" + 2(x − 2)y' – 6y = 0

1. We found a solution y=sinx for the following differential equation. y"+y=0 a. Use Reduction of Order to find another solution b. Find the general solution for the above differential equation 2. Find the general solutions by using the method of reduction of order - (1 - 2x)y" +2y' + (2x − 3)y = 0; y₁ = ex 3. Solve the following homogeneous differential equations a. x²y" - 2xy' + 2y = 0 b. x²y" xy' + y = 0 C. - - - (x − 2)²y" + 2(x − 2)y' – 6y = 0

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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1. We found a solution y=sinx for the following differential equation. y"+y=0 a. Use Reduction of Order to find another solution b. Find the general solution for the above differential equation 2. Find the general solutions by using the method of reduction of order - (1 - 2x)y" +2y' + (2x − 3)y = 0; y₁ = ex 3. Solve the following homogeneous differential equations a. x²y" - 2xy' + 2y = 0 b. x²y" xy' + y = 0 C. - - - (x − 2)²y" + 2(x − 2)y' – 6y = 0
Transcribed Image Text:1. We found a solution y=sinx for the following differential equation. y"+y=0 a. Use Reduction of Order to find another solution b. Find the general solution for the above differential equation 2. Find the general solutions by using the method of reduction of order - (1 - 2x)y" +2y' + (2x − 3)y = 0; y₁ = ex 3. Solve the following homogeneous differential equations a. x²y" - 2xy' + 2y = 0 b. x²y" xy' + y = 0 C. - - - (x − 2)²y" + 2(x − 2)y' – 6y = 0
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