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3(a) Critically explain with practical examples on how a particular solution of a differential equation can be deduced from the general solution.

3(a) Critically explain with practical examples on how a particular solution of a differential equation can be deduced from the general solution.

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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3(a) Critically explain with practical examples on how a particular solution of a differential equation can be deduced from the general solution. (b) Find the equation of the tangent line to the curve 8x²y³ – 5x² + 7y³ = 10(x – 3y), at the point (2,-2). (c) Given T"= 6x²y3 – cosx + 5y2 – siny + 10x? – e-3*; determine (i) T' = S (T")dx (ii) T = S(T")ay (d) Solve the equation cosecxcosydy – 10xdx = 0, separably.
Transcribed Image Text:3(a) Critically explain with practical examples on how a particular solution of a differential equation can be deduced from the general solution. (b) Find the equation of the tangent line to the curve 8x²y³ – 5x² + 7y³ = 10(x – 3y), at the point (2,-2). (c) Given T"= 6x²y3 – cosx + 5y2 – siny + 10x? – e-3*; determine (i) T' = S (T")dx (ii) T = S(T")ay (d) Solve the equation cosecxcosydy – 10xdx = 0, separably.
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