Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1 (a) Check whether the differential equation is OA. Separable B. Not exact OC. Exact because (2xy². + cos x cos OD. Exact because (2xy² 2xy 3 + OB. O C. 3 2x y 3 (b) The general solution of the differential equation is given by A. None of the given answers is correct B. 22 x y + sin x sin y - cos x cos y = C with C an arbirary constant C. 4xy + sin x sin y = C with C an arbirary constant D. 3 osy), = (2x²y- si osy) x + cos x cos 3y 22 x y + sin x cos y = 0 3 2xy + 2x 3 - sinx siny)x (2x²y- sin x siny), E E. 22 x²y² + sinx cos y = C with C an arbirary constant (c) The solution of the initial value problem is given implicitly by 22 xy + sinx siny- cos x cos y = + sin x sin y cos x cos y = C with C an arbirary constant - cos 1 + sin x sin y - cos x cos y = - cos 1
Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1 (a) Check whether the differential equation is OA. Separable B. Not exact OC. Exact because (2xy². + cos x cos OD. Exact because (2xy² 2xy 3 + OB. O C. 3 2x y 3 (b) The general solution of the differential equation is given by A. None of the given answers is correct B. 22 x y + sin x sin y - cos x cos y = C with C an arbirary constant C. 4xy + sin x sin y = C with C an arbirary constant D. 3 osy), = (2x²y- si osy) x + cos x cos 3y 22 x y + sin x cos y = 0 3 2xy + 2x 3 - sinx siny)x (2x²y- sin x siny), E E. 22 x²y² + sinx cos y = C with C an arbirary constant (c) The solution of the initial value problem is given implicitly by 22 xy + sinx siny- cos x cos y = + sin x sin y cos x cos y = C with C an arbirary constant - cos 1 + sin x sin y - cos x cos y = - cos 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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