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1. Evaluate these: 1 -x* +c dx *dx (i) x'd< (Ans. x² +c J; (iii) |xdx dx (Ans. ); (ii) (Ans. 2 5 ); (iv) 'x* dx 3 213 1 Tx (Ans. - + c --- (Ans. 3 ); (v) 2 -2x - 8e * )dx -2.x (iv) J(6er +c); (Ans. 2e* + 4e" 14x xp(- (Ans. e + In(7x² +5)+c) + 7x² +15' (v) x* x² +x+c 3 +x+1)dx +x +c 2 ):(vii) J(3x' – x + 1)dx (Ans. 4 (Ans. 4 ); 2 3 +c 5 (viii) J(Sx" + 2x² + 3x)dx (Ans. ); (ix) J (2x° – 3.x*)dxr (Ans. 4 3 2 3 +c --

1. Evaluate these: 1 -x* +c dx *dx (i) x'd< (Ans. x² +c J; (iii) |xdx dx (Ans. ); (ii) (Ans. 2 5 ); (iv) 'x* dx 3 213 1 Tx (Ans. - + c --- (Ans. 3 ); (v) 2 -2x - 8e * )dx -2.x (iv) J(6er +c); (Ans. 2e* + 4e" 14x xp(- (Ans. e + In(7x² +5)+c) + 7x² +15' (v) x* x² +x+c 3 +x+1)dx +x +c 2 ):(vii) J(3x' – x + 1)dx (Ans. 4 (Ans. 4 ); 2 3 +c 5 (viii) J(Sx" + 2x² + 3x)dx (Ans. ); (ix) J (2x° – 3.x*)dxr (Ans. 4 3 2 3 +c --

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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1. Evaluate these: 1 x* +c 1 +c dx o r'dx (Ans. 4 ); (ii) J xdx (Ans. 2 3 dx (Ans. (i) ); (iii) 5 ); (iv) 1 dx 2/3 (Ans. 3 ); (v) ' Vx ) (iv) J (6e* – 8e")dx (Ans. 2e** + 4e* +c ); 3.x 14x xp(- (Ans. e" + In(7x² + 5)+c) + 7x? +15 e2x 3 +x+1)dx (Ans. (3x* - +x+с - x +1)dx (Ans. +x+c 4 );(vii) 4 ); 2 (viii) J(5.x' + 2x² + 3x)dx (Ans. 3 +-x? +c 3 +=x ); (ix) J (2x° – 3x*)dx 2 - (Ans. 2 3 -x' +c 5 7
Transcribed Image Text:1. Evaluate these: 1 x* +c 1 +c dx o r'dx (Ans. 4 ); (ii) J xdx (Ans. 2 3 dx (Ans. (i) ); (iii) 5 ); (iv) 1 dx 2/3 (Ans. 3 ); (v) ' Vx ) (iv) J (6e* – 8e")dx (Ans. 2e** + 4e* +c ); 3.x 14x xp(- (Ans. e" + In(7x² + 5)+c) + 7x? +15 e2x 3 +x+1)dx (Ans. (3x* - +x+с - x +1)dx (Ans. +x+c 4 );(vii) 4 ); 2 (viii) J(5.x' + 2x² + 3x)dx (Ans. 3 +-x? +c 3 +=x ); (ix) J (2x° – 3x*)dx 2 - (Ans. 2 3 -x' +c 5 7
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