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Verification: verify that the indicated function is a particular solution of the given differential equation. Give an interval of definition I for each solution. y" +y= 2cosx-2sinx; y=xsin x + x cos t y"+y = secx; _y=xsin x + (cos.x)In(cos x) x²y + xy + y = 0; y = sin(in.x) x²y + xy + y = sec(In_x); y = cos(in x) In(cos(In.x)) + (In x) sin(In.x)

Verification: verify that the indicated function is a particular solution of the given differential equation. Give an interval of definition I for each solution. y" +y= 2cosx-2sinx; y=xsin x + x cos t y"+y = secx; _y=xsin x + (cos.x)In(cos x) x²y + xy + y = 0; y = sin(in.x) x²y + xy + y = sec(In_x); y = cos(in x) In(cos(In.x)) + (In x) sin(In.x)

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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ignore Verification: verify that the indicated function is a particular solution of the given differential equation. Give an interval of definition I for each solution. y"*+y=2c0st-2sinx; y=xsinx+xcosr y" + y = secx; _y=x sinx+(cos.x)ln(cos x) x²y + xy + y = 0; y = sin(In .x) x²y + xy + y = sec(In_x); y= y = cos(in x) In(cos(In.x)) + (In x) sin(in x)
Transcribed Image Text:ignore Verification: verify that the indicated function is a particular solution of the given differential equation. Give an interval of definition I for each solution. y"*+y=2c0st-2sinx; y=xsinx+xcosr y" + y = secx; _y=x sinx+(cos.x)ln(cos x) x²y + xy + y = 0; y = sin(In .x) x²y + xy + y = sec(In_x); y= y = cos(in x) In(cos(In.x)) + (In x) sin(in x)
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