5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7. y'tanx sin2y = sin²x + cos²y %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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Use any appropriate method in finding the indicated solution of the following differential equations.

5. (ху? + у — х)ӑx + x(ху + 1)dy %3D 0
6. (1 — ху)-?dx + [y? + x?(1 — ху)-?]dy %3D 0; when х %3D 2, у %3D1
7. у'tanx sin2у%3D sin?x + cos?у
Transcribed Image Text:5. (ху? + у — х)ӑx + x(ху + 1)dy %3D 0 6. (1 — ху)-?dx + [y? + x?(1 — ху)-?]dy %3D 0; when х %3D 2, у %3D1 7. у'tanx sin2у%3D sin?x + cos?у
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