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V Solve using variation of parameters reduction of order (D²- 3D + 2)y = (1 + ²x ) = ½

V Solve using variation of parameters reduction of order (D²- 3D + 2)y = (1 + ²x ) = ½

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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IV Solve using method of undetermined coefficients B 6² x + 12 dx + 8x =0 when t=0, x=1=: dta dt2 वर I Solve using variation of parameters or reduction of order (D²- 3D + 2)y = (1+ ²x )¯ ½ VT APPLICATIONS 1. Solve for the orthogonal trajectories x² (3k-x) - ky² = xy² 2 2 2. A tank initially contains 100 gallons of brine whose concentration is 1/2 lb/gal. Brine whose salt con- centration is 2 lb/gal flows into the tank at 2 gal/min. The well- stirred mixture flows out at the rate of 3 gal min Find salt content of brine and its concentration after 30 minutes.
Transcribed Image Text:IV Solve using method of undetermined coefficients B 6² x + 12 dx + 8x =0 when t=0, x=1=: dta dt2 वर I Solve using variation of parameters or reduction of order (D²- 3D + 2)y = (1+ ²x )¯ ½ VT APPLICATIONS 1. Solve for the orthogonal trajectories x² (3k-x) - ky² = xy² 2 2 2. A tank initially contains 100 gallons of brine whose concentration is 1/2 lb/gal. Brine whose salt con- centration is 2 lb/gal flows into the tank at 2 gal/min. The well- stirred mixture flows out at the rate of 3 gal min Find salt content of brine and its concentration after 30 minutes.
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