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(1) Determine the order of the given differential equations and state whether the equation is lincar or nonlincar (a >0 constant) dy (i) dr -sin°(z)y = cos"(x)y +1. (ii) 7ty – e'y'-P+ 4a' (iii) z' + (a² – 2a))z- dr = tel=-2)=. (iv) y" = y² + cos(z). dt

(1) Determine the order of the given differential equations and state whether the equation is lincar or nonlincar (a >0 constant) dy (i) dr -sin°(z)y = cos"(x)y +1. (ii) 7ty – e'y'-P+ 4a' (iii) z' + (a² – 2a))z- dr = tel=-2)=. (iv) y" = y² + cos(z). dt

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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(1) Determine the order of the given differential equations and state whether the equation is lincar or nonlincar (a > 0 constant ) dy (i) dr - sin°(z)y = cos"(x)y +z. (ii) 7ty – e'y'=p+ 4a' %3D (iii) z' + (a² – 2a)z- dr = tel=-2)=. (iv) y" = y² + cos(z). %3D dt
Transcribed Image Text:(1) Determine the order of the given differential equations and state whether the equation is lincar or nonlincar (a > 0 constant ) dy (i) dr - sin°(z)y = cos"(x)y +z. (ii) 7ty – e'y'=p+ 4a' %3D (iii) z' + (a² – 2a)z- dr = tel=-2)=. (iv) y" = y² + cos(z). %3D dt
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