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(e) Salve the boundary valae probleun ++y=0 p(0) = 1, s(1) = 3. 3. (a) Show that the relative error in the product of two numbers is approximately equa the um in the relative sumbers la the co-eicient. (b) Find the mum of the folliowing sppropriste aumber esch correct to the indicated sig iesat digit 164.426, 18.3, 281, 54.243, 12.482 fe) Fiod the differenne A-VI0-r. Correet to 5 significant digits. 4 (a) Salve the egaatione 2+-4 (b) Aume that equation (21) s homogeneos sad given that the roots of the'szxila ce real and compler. Determine the complementary solution. le) Given the mlase in 5=0.7071, sin 50 = 0.7660, sin 55" - 0.8192, sin 60 = 0.86 Find sta 52.. 3 (a) Gives the Beraouli's equation +1 ud seg, redhuoe oquation (5.1) to the linear equation of the form 1-n)P(z)a = (1-n)Q{z). Hence, solve the equation (b) Uaing the method of undetermined co-ecieste, solve the differential oquation -4y=ze + coi 2z. (c) Given log s fors= 310, 320, 330, 340, 350 sod 360 acoording to the table. Find t value of (i) log 3375 (i) log 3375.

(e) Salve the boundary valae probleun ++y=0 p(0) = 1, s(1) = 3. 3. (a) Show that the relative error in the product of two numbers is approximately equa the um in the relative sumbers la the co-eicient. (b) Find the mum of the folliowing sppropriste aumber esch correct to the indicated sig iesat digit 164.426, 18.3, 281, 54.243, 12.482 fe) Fiod the differenne A-VI0-r. Correet to 5 significant digits. 4 (a) Salve the egaatione 2+-4 (b) Aume that equation (21) s homogeneos sad given that the roots of the'szxila ce real and compler. Determine the complementary solution. le) Given the mlase in 5=0.7071, sin 50 = 0.7660, sin 55" - 0.8192, sin 60 = 0.86 Find sta 52.. 3 (a) Gives the Beraouli's equation +1 ud seg, redhuoe oquation (5.1) to the linear equation of the form 1-n)P(z)a = (1-n)Q{z). Hence, solve the equation (b) Uaing the method of undetermined co-ecieste, solve the differential oquation -4y=ze + coi 2z. (c) Given log s fors= 310, 320, 330, 340, 350 sod 360 acoording to the table. Find t value of (i) log 3375 (i) log 3375.

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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北 O .l l (E% 08:22 -, y (U) = U. (e) Solve the boundary value problean y"+ 2y +y =0 v(0) = 1, y(1) = 3. 3. (a) Show that the relative error in the product of two numberni is approximately equa. the sun in the relative numbere in the co-efficient. (b) Find the sum of the following appropriste mumber ench aorrect to the indicated sig icaat digit 164.426, 18.3, 281, 54.243, 12.482 (e) Fiod the difference A- VTO -1. Correct to 5 significant digits. (a) Salve the egaatione (1) 2r+ 3y-4 4 +y-3 (u) (b) Asnume that equstion (2.1) is homogeneous and given that the roots of the'auxil Ace real and complex. Determine the compleamentary solution. (e) Given the values sin 45=0.7071, sin 50 = 0,7660, sin 56 - 0.8192, sin 60 = 0.88 Pind stn 52. 5. (a) Given the Bernoulli's equation +yP(2) ="Q(x), aud sgl-, reduce oquation (5.1) to the linear equation of the form +(1-n)P(z)z = (1-n)Q(z). de Hence, solve the equation dy 2+y=-2y. Q (b) Uning the method of undetermined co-eficienta, solve the differential eguation *-4y =ze + cos 2r. (c) Given log z for z = 310, 320, 330, 340, 350 and 300 according to the table. Find t valuo of (i) log 337.5 (ii) log 3375. >
Transcribed Image Text:北 O .l l (E% 08:22 -, y (U) = U. (e) Solve the boundary value problean y"+ 2y +y =0 v(0) = 1, y(1) = 3. 3. (a) Show that the relative error in the product of two numberni is approximately equa. the sun in the relative numbere in the co-efficient. (b) Find the sum of the following appropriste mumber ench aorrect to the indicated sig icaat digit 164.426, 18.3, 281, 54.243, 12.482 (e) Fiod the difference A- VTO -1. Correct to 5 significant digits. (a) Salve the egaatione (1) 2r+ 3y-4 4 +y-3 (u) (b) Asnume that equstion (2.1) is homogeneous and given that the roots of the'auxil Ace real and complex. Determine the compleamentary solution. (e) Given the values sin 45=0.7071, sin 50 = 0,7660, sin 56 - 0.8192, sin 60 = 0.88 Pind stn 52. 5. (a) Given the Bernoulli's equation +yP(2) ="Q(x), aud sgl-, reduce oquation (5.1) to the linear equation of the form +(1-n)P(z)z = (1-n)Q(z). de Hence, solve the equation dy 2+y=-2y. Q (b) Uning the method of undetermined co-eficienta, solve the differential eguation *-4y =ze + cos 2r. (c) Given log z for z = 310, 320, 330, 340, 350 and 300 according to the table. Find t valuo of (i) log 337.5 (ii) log 3375. >
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