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(1) The functions f, g and h are related by f(x) = g(x+1),. g'(x) = h(x-1), then f"(2x) equals: (a) 2h'(2x) (b) h(2x+1) (c) h(2x) (d) 4h(2x) (2) The differential equation (Vu)² = 2 is (a) Linear/ first order (b) Non-linear/second order (c) Linear/second order (d) Non-linear/first order

(1) The functions f, g and h are related by f(x) = g(x+1),. g'(x) = h(x-1), then f"(2x) equals: (a) 2h'(2x) (b) h(2x+1) (c) h(2x) (d) 4h(2x) (2) The differential equation (Vu)² = 2 is (a) Linear/ first order (b) Non-linear/second order (c) Linear/second order (d) Non-linear/first order

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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Q1/ Choose the correct answer: (1) The functions f. g and h are related by f(x)= g(x+1). g'(x)= h(x-1), then f"(2x) equals: (a) 2h'(2x) (b) h(2x+1) (c) h(2x) (d) 4h(2x) (2) The differential equation (Vu)? = 2 is %3D (a) Linear/ first order (b) Non-linear/second order (c) Linear/second order (d) Non-linear/first order (3) The result of (D-7D,D-6D)cos(x-y) is (a) 4cos(x-y) (b) 0 (c) 4 (d) Non of these (4) The general solution of the equation y oz +2z is ôx x+1 oy (a) F(y(x+1).(x+1)?). (c) F(y(x), – (x+1)³). (d) Non of these
Transcribed Image Text:Q1/ Choose the correct answer: (1) The functions f. g and h are related by f(x)= g(x+1). g'(x)= h(x-1), then f"(2x) equals: (a) 2h'(2x) (b) h(2x+1) (c) h(2x) (d) 4h(2x) (2) The differential equation (Vu)? = 2 is %3D (a) Linear/ first order (b) Non-linear/second order (c) Linear/second order (d) Non-linear/first order (3) The result of (D-7D,D-6D)cos(x-y) is (a) 4cos(x-y) (b) 0 (c) 4 (d) Non of these (4) The general solution of the equation y oz +2z is ôx x+1 oy (a) F(y(x+1).(x+1)?). (c) F(y(x), – (x+1)³). (d) Non of these
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