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Use the method of variation of parameters to determine the general solution of the given differential equation. NOTE: Use C1, C2, and cg as arbitrary constants. π ㅠ y" + y =tan(t), =< t < 7 2 Suppose the general solution is y(t) = ye(t) + Y(t), where Ye(t) = C₁+C₂ cos(t) + c3 sin(t) is the homogeneous solution and Y(t) = ln(cos(t)) + cos²(t) + sin(t) (− In(tan(t) + sec(t) is the particular solution. ✓ X

Use the method of variation of parameters to determine the general solution of the given differential equation. NOTE: Use C1, C2, and cg as arbitrary constants. π ㅠ y" + y =tan(t), =< t < 7 2 Suppose the general solution is y(t) = ye(t) + Y(t), where Ye(t) = C₁+C₂ cos(t) + c3 sin(t) is the homogeneous solution and Y(t) = ln(cos(t)) + cos²(t) + sin(t) (− In(tan(t) + sec(t) is the particular solution. ✓ 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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Use the method of variation of parameters to determine the general solution of the given differential equation. NOTE: Use C₁, C2, and cg as arbitrary constants. y"+y' =tan(t), Suppose the general solution is y(t) Yc(t) = C₁ + C₂ cos(t) + c3 sin(t) ㅠ is the particular solution. -<t</ = = ye(t) + Y(t), where is the homogeneous solution and Y(t) = ln(cos(t)) + cos²(t) + sin(t) (− In(tan(t) + sec(t) X
Transcribed Image Text:Use the method of variation of parameters to determine the general solution of the given differential equation. NOTE: Use C₁, C2, and cg as arbitrary constants. y"+y' =tan(t), Suppose the general solution is y(t) Yc(t) = C₁ + C₂ cos(t) + c3 sin(t) ㅠ is the particular solution. -<t</ = = ye(t) + Y(t), where is the homogeneous solution and Y(t) = ln(cos(t)) + cos²(t) + sin(t) (− In(tan(t) + sec(t) X
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