5. (2xsinh2 + 3ycosh2) dx – 3xcosh² dy = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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can you pls explain or show solution why given number 5 is a homogeneous D.E. ASAP TYIA

II. Reduce the given equation (Ayres, Differential Equations, 1952) into the form
of a homogenous function then transform into a variable separable to obtain the
required general or particular solution (5 points each)
4. хdу — ydx — x — у? dх %3D 0
5. (2xsinh? + 3ycosh?) dx – 3xcosh?dy = 0
6. (2x + 3y)dx + (y – x)dy = 0
7. (1+ 2e5) dx + 2e (1–) dy = 0
Transcribed Image Text:II. Reduce the given equation (Ayres, Differential Equations, 1952) into the form of a homogenous function then transform into a variable separable to obtain the required general or particular solution (5 points each) 4. хdу — ydx — x — у? dх %3D 0 5. (2xsinh? + 3ycosh?) dx – 3xcosh?dy = 0 6. (2x + 3y)dx + (y – x)dy = 0 7. (1+ 2e5) dx + 2e (1–) dy = 0
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