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Find the particular solution for given oquations using separable variables method (1) / + y cos z = 4 cos z, y(0) = 0. (ii) (t² – 14t + 45)y/ = y, y(7) = 1. dy %3D %3D (iii) dz = sin z (cos 2y – cos y), y(0) = 2x. (iv) y/ = zy + 3z - y - 3 zy- 2z + 4y - 8' %3D %3D v(0) = 1.

Find the particular solution for given oquations using separable variables method (1) / + y cos z = 4 cos z, y(0) = 0. (ii) (t² – 14t + 45)y/ = y, y(7) = 1. dy %3D %3D (iii) dz = sin z (cos 2y – cos y), y(0) = 2x. (iv) y/ = zy + 3z - y - 3 zy- 2z + 4y - 8' %3D %3D v(0) = 1.

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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Find the particular solution for given equations using separable variables method (i) y/ + y cos z = 4 cos z, y(0) = 0. (ii) (t² – 14t + 45)y/ = y, y(7) = 1. dy %3D %3D (iii) dr = sin z (cos 2y – cos² y), y(0) = 2. (iv) y/ = zy + 3x – y – 3 zy – 2r + 4y - 8' %3D %3D v(0) = 1.
Transcribed Image Text:Find the particular solution for given equations using separable variables method (i) y/ + y cos z = 4 cos z, y(0) = 0. (ii) (t² – 14t + 45)y/ = y, y(7) = 1. dy %3D %3D (iii) dr = sin z (cos 2y – cos² y), y(0) = 2. (iv) y/ = zy + 3x – y – 3 zy – 2r + 4y - 8' %3D %3D v(0) = 1.
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