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dy a) Show that the equation = x² - 11y² 10xy is homogeneous. dx The equation is homogeneous because the right-hand side can be written in terms of v=y/x as b) Solve the differential equation.

dy a) Show that the equation = x² - 11y² 10xy is homogeneous. dx The equation is homogeneous because the right-hand side can be written in terms of v=y/x as b) Solve the differential equation.

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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a) Show that the equation dy x² - 11y² 10xy = is homogeneous. dx The equation is homogeneous because the right-hand side can be written in terms of v=y/x as b) Solve the differential equation. NOTE: Use the positive number c for the constant of integration. The solution is given by y² = c) Draw a direction field and some integral curves. Are they symmetric with respect to the origin? The integral curves Choose one symmetric with resp are not tin. are
Transcribed Image Text:a) Show that the equation dy x² - 11y² 10xy = is homogeneous. dx The equation is homogeneous because the right-hand side can be written in terms of v=y/x as b) Solve the differential equation. NOTE: Use the positive number c for the constant of integration. The solution is given by y² = c) Draw a direction field and some integral curves. Are they symmetric with respect to the origin? The integral curves Choose one symmetric with resp are not tin. are
a) Show that the equation dy x² - 11y² dx 10xy is homogeneous. The equation is homogeneous because the right-hand side can be written in terms of v = y/x as b) Solve the differential equation. NOTE: Use the positive number c for the constant of integration. The solution is given by y² = c) Draw a direction field and some integral curves. Are they symmetric with respect to the origin? The integral curves Choose one▾ symmetric with respect to the origin.
Transcribed Image Text:a) Show that the equation dy x² - 11y² dx 10xy is homogeneous. The equation is homogeneous because the right-hand side can be written in terms of v = y/x as b) Solve the differential equation. NOTE: Use the positive number c for the constant of integration. The solution is given by y² = c) Draw a direction field and some integral curves. Are they symmetric with respect to the origin? The integral curves Choose one▾ symmetric with respect to the origin.
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