I need answer within 20 minutes please please with my best wishes L, r = 0, y = 1, dr = 0.01 and dy = 0.03Sz+4y4r-y(d) f(x, y) =%3D%3Dfor f.(r, y), let u(x, y) = 4x- y and v(x, y) = 5x + 4y.then, u (r,y) = (i) 4x? (ii) 4 (iii) –1and v(r, y) = (i) 5æ? (ii) 5 (iii) 3+ 4aand so%3Dv(x, y) - u,(x, y) – u(r, y) v,(r, y)_ (5x + 4y)(4) – (4x – y)(5)(5x + 4y)2fa(r, y) =[v(x, y)]*2121y(5z+4y)20(i)(5a+4y)2(ii)(iii) T6z+4y)²for fy(x, y), let u(r, y) = 4x - y and v(r, y) = 5x + 4y.then, u,(r, y) = (i) 4x? (ii) 4 (iii) –1and v, (x, y) = (i) 5æ? (ii) 5 (iii) 4and so%3D%3Dv(a, y) - u,(x, y) – u(r, y)- v,(r, y)[v(x, y)]*(5.r + 4y)(-1) – (4.r – y)(4)(5x + 4y)2fy(x, y) =(i)21(5æ+4y)"(ii)21y(5a+4y)21a(iii) 6z+4y)dz = fa(x, y) dr + f,(x, y) dy21y-21.rdr +(5x + 4y)2,dy(5x + 4y)2-21(0)21(1)(5(0) + 4(1))2(0.01) +(0.03) =(5(0) + 4(1))?(i) 0.011 (ii) 0.012 (iii) 0.013for f.(r, y), let f [g(x)] = (x² + y?).1f.(2r) =D2VT + y(1) (i)(ii)3V3a+y?a²+y?for f,(r, y),1(2y) =2/3r + y?fy(1) (i) (i)3z3/3r+y?

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d) f(r,y) = r= 0, y = 1, dr = 0.01 and dy = 0.03 %3D %3D for f.(r, y), let u(r, y) = 4x-y and v(x, y) = 5x + 4y. then, u (r, y) = (i) 4x? (ii) 4 (iii) –1 and v(r, y) = (i) 5x? (ii) 5 (iii) 3+ 4x and so v(z, y) - u,(r. y) – u(x, y) v,(r, y)_ (5x+ 4y)(4) – (4x – y)(5) (5x + 4y)? fr(x, y) = [v(x, y) 21 21y (5z+4y) 20 (i) (5z+4y) (ii) (iii) (5z+4y) for fy(x, y), let u(r, y) = 4.r - y and v(r, y) = 5x + 4y. then, u,(r, y) = (i) 4x? (ii) 4 (iii) –1 and vy(r, y) = (i) 5x? (ii) 5 (iii) 4 and so %3D v(x, y) - u,(x, y) – u(x,y) - v,(r. y) _ (5x +4y)(-1) – (4r – y)(4) (5r+4y)2 fy(r, y) = [v(x, y)* (i) 21 (5x+4y) 21y (ii) (5z+4y) (iii) -21z (5z+4y) dz = f.(x,y) dr + f,(x, y) dy 21y -21r (5x + 4y)?) dr + (5.r + 4y)2 dy 21(1) (5(0) + 4(1))² (i) 0.011 (ii) 0.012 (iii) 0.013 -21(0) (0.01) + (0.03) = (5(0) + 4(1))? for f.(r, y), let f[9(x)] = (x² + y²) 1 (2x) = 2 + y? (1) T (ii) V+y? (iii) 3V3z+y for f,(r, y), 1 (2y) 3D 2/3r + y* fy (1) (i) 3z (iii) 3/3z+y?

d) f(r,y) = r= 0, y = 1, dr = 0.01 and dy = 0.03 %3D %3D for f.(r, y), let u(r, y) = 4x-y and v(x, y) = 5x + 4y. then, u (r, y) = (i) 4x? (ii) 4 (iii) –1 and v(r, y) = (i) 5x? (ii) 5 (iii) 3+ 4x and so v(z, y) - u,(r. y) – u(x, y) v,(r, y)_ (5x+ 4y)(4) – (4x – y)(5) (5x + 4y)? fr(x, y) = [v(x, y) 21 21y (5z+4y) 20 (i) (5z+4y) (ii) (iii) (5z+4y) for fy(x, y), let u(r, y) = 4.r - y and v(r, y) = 5x + 4y. then, u,(r, y) = (i) 4x? (ii) 4 (iii) –1 and vy(r, y) = (i) 5x? (ii) 5 (iii) 4 and so %3D v(x, y) - u,(x, y) – u(x,y) - v,(r. y) _ (5x +4y)(-1) – (4r – y)(4) (5r+4y)2 fy(r, y) = [v(x, y)* (i) 21 (5x+4y) 21y (ii) (5z+4y) (iii) -21z (5z+4y) dz = f.(x,y) dr + f,(x, y) dy 21y -21r (5x + 4y)?) dr + (5.r + 4y)2 dy 21(1) (5(0) + 4(1))² (i) 0.011 (ii) 0.012 (iii) 0.013 -21(0) (0.01) + (0.03) = (5(0) + 4(1))? for f.(r, y), let f[9(x)] = (x² + y²) 1 (2x) = 2 + y? (1) T (ii) V+y? (iii) 3V3z+y for f,(r, y), 1 (2y) 3D 2/3r + y* fy (1) (i) 3z (iii) 3/3z+y?

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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