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Which first-order techniques that we've covered in this class could be used to solve the ODE in your example? Explain why each method identified could be used and why any other methods wouldn't work.

Which first-order techniques that we've covered in this class could be used to solve the ODE in your example? Explain why each method identified could be used and why any other methods wouldn't work.

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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Which first-order techniques that we've covered in this class could be used to solve the ODE in your example? Explain why each method identified could be used and why any other methods wouldn't work.

Solve 7/7 where This is Get are. Divide both sides by L dl RI = E dt 22 +2²-22 de IF = + RI=E, where L. 12 and E constants, when t = v₁ 2 = 0 тро 21 I 7 + 720 dI at 7 e = e lett t a linear DE in - IF = - e 770 (718) 21 72053x Plt) = 2 and Qlt) = I L the integrating factor IF 12 ez = (2 + P(t) I = Q2 (t) t EQ 7 I of the form 튼 ett 1 (710 The general solution takes the I (LF) = (Olt) (LF) dt +L R 든 2 + 7ײ73 27/1 = 2 2 21% ↑ R 튼 Z je z dt I ett lett at +L 7 let u = It form du = 1/2 dt 1/2 du = dt
Transcribed Image Text:Solve 7/7 where This is Get are. Divide both sides by L dl RI = E dt 22 +2²-22 de IF = + RI=E, where L. 12 and E constants, when t = v₁ 2 = 0 тро 21 I 7 + 720 dI at 7 e = e lett t a linear DE in - IF = - e 770 (718) 21 72053x Plt) = 2 and Qlt) = I L the integrating factor IF 12 ez = (2 + P(t) I = Q2 (t) t EQ 7 I of the form 튼 ett 1 (710 The general solution takes the I (LF) = (Olt) (LF) dt +L R 든 2 + 7ײ73 27/1 = 2 2 21% ↑ R 튼 Z je z dt I ett lett at +L 7 let u = It form du = 1/2 dt 1/2 du = dt
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