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How to use the method of variation to solve the 2nd problem?

How to use the method of variation to solve the 2nd problem?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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How to use the method of variation to solve the 2nd problem? 

an expression for the par This forcing function, or if you wish t Problems In each of Problems 1 through 3, use the method of variation or parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients. 1. y" – 5y +6y = 4e' 2, y" –y – 2y = 4e- | (1)9 3. 4y" – 4y' + y= 8e'/2 In each of Problems 4 through 9, find the general solution of the given differential equation. In Problems 8 and 9, g is an arbitrary continuous function. %3| be 01 0 <t < T/2 4./y"+y= 2tan t, 0<t< T/2 5. y"+4y = 3 csc(2t), 6. y" +4y' +4y = 21-2e-21, 7. 4y" +y = 8 sec(t/2), 8. y' +9y = g(t) 9. y - 7y + 10y = g(t) In each of Problems 10 through 15, verify that the given function: V, and y, satisfy the corresponding homogeneous equation; the find a particular solution of the given nonhomogeneour 0 < t < T/2 t > 0 ーπ <tくπ %3D ow nodienouaonut sns (o1) noitaupo lo noituloe %3D Problems 14 and 15 gid
Transcribed Image Text:an expression for the par This forcing function, or if you wish t Problems In each of Problems 1 through 3, use the method of variation or parameters to find a particular solution of the given differential equation. Then check your answer by using the method of undetermined coefficients. 1. y" – 5y +6y = 4e' 2, y" –y – 2y = 4e- | (1)9 3. 4y" – 4y' + y= 8e'/2 In each of Problems 4 through 9, find the general solution of the given differential equation. In Problems 8 and 9, g is an arbitrary continuous function. %3| be 01 0 <t < T/2 4./y"+y= 2tan t, 0<t< T/2 5. y"+4y = 3 csc(2t), 6. y" +4y' +4y = 21-2e-21, 7. 4y" +y = 8 sec(t/2), 8. y' +9y = g(t) 9. y - 7y + 10y = g(t) In each of Problems 10 through 15, verify that the given function: V, and y, satisfy the corresponding homogeneous equation; the find a particular solution of the given nonhomogeneour 0 < t < T/2 t > 0 ーπ <tくπ %3D ow nodienouaonut sns (o1) noitaupo lo noituloe %3D Problems 14 and 15 gid
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