(i) y' = e(y +x)° is an autonomous differential equation. (ii) Any first order, linear, homogeneous differential equation is separable. (iii) The method of undetermined coefficients can be used to find a particular solution to 3yO) +y = (3) x+1 (iv) xo = 0 is an ordinary point of xy" + axy' + bx°y = 0. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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True or false
(i) y' = e(y +x)° is an autonomous differential equation.
(ii) Any first order, linear, homogeneous differential equation is separable.
(iii) The method of undetermined coefficients can be used to find a particular solution to 3yO) +y =
%3D
(3)
x+1
(iv) xo = 0 is an ordinary point of xy" + axy' + bx°y = 0.
%3D
Transcribed Image Text:(i) y' = e(y +x)° is an autonomous differential equation. (ii) Any first order, linear, homogeneous differential equation is separable. (iii) The method of undetermined coefficients can be used to find a particular solution to 3yO) +y = %3D (3) x+1 (iv) xo = 0 is an ordinary point of xy" + axy' + bx°y = 0. %3D
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