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c) Which of the following statements is correct for solving the ODE, x = 3 cos(5x + 71 - 2)? OThe ODE can be reduced to be OThis is an inhomogeneous linear ODE that can be solved by the variation of OThe method to solve exact ODES can separable; parameter method; be applied;

c) Which of the following statements is correct for solving the ODE, x = 3 cos(5x + 71 - 2)? OThe ODE can be reduced to be OThis is an inhomogeneous linear ODE that can be solved by the variation of OThe method to solve exact ODES can separable; parameter method; be applied;

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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For each multiple choice question select only one of the options: a) Which of the following ordinary differential equations (ODES) has r as the independent variable and can be solved by the separation of variables method? Ol Ol Ov Ol and I Oll and II On and M. OII, II and IV dy where I: = e' sin(y), II: y = r+ e*, II: y = cos(y+ 5), IV: ý = e*y b) Which of the following ODES is not separable but can be reduced to be separable? Ol and II Ot and II where I: y = 3 In((y) – 3 In(x) + 10, II: y = tanh((y/x))+ 2e,II: y = (+3yx. Ol and II c) Which of the following statements is correct for solving the ODE, x = 3 cos(5x + 7- 2)? OThe ODE can be reduced to be OThis is an inhomogeneous Ilinear ODE that can be solved by the variation of OThe method to solve exact ODES can separable; parameter method; be applied; 3) d) The solution to the initial value problem y sin(y) (0) = r/2 is, Ov DIV where I:y(x) = arcsin(C +3x), where C is an arbitrary constant, II:y(x) = arcsin(C- 3x), where C is an arbitrary constant, III:y(x) IV:y(x) = arccos(-3x) = arccos(3x)
Transcribed Image Text:For each multiple choice question select only one of the options: a) Which of the following ordinary differential equations (ODES) has r as the independent variable and can be solved by the separation of variables method? Ol Ol Ov Ol and I Oll and II On and M. OII, II and IV dy where I: = e' sin(y), II: y = r+ e*, II: y = cos(y+ 5), IV: ý = e*y b) Which of the following ODES is not separable but can be reduced to be separable? Ol and II Ot and II where I: y = 3 In((y) – 3 In(x) + 10, II: y = tanh((y/x))+ 2e,II: y = (+3yx. Ol and II c) Which of the following statements is correct for solving the ODE, x = 3 cos(5x + 7- 2)? OThe ODE can be reduced to be OThis is an inhomogeneous Ilinear ODE that can be solved by the variation of OThe method to solve exact ODES can separable; parameter method; be applied; 3) d) The solution to the initial value problem y sin(y) (0) = r/2 is, Ov DIV where I:y(x) = arcsin(C +3x), where C is an arbitrary constant, II:y(x) = arcsin(C- 3x), where C is an arbitrary constant, III:y(x) IV:y(x) = arccos(-3x) = arccos(3x)
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