Show that y x2 y2 sin y y2 cos y y0 0 has a unique solut

Show that y\' = (x^2 - y^2) sin y + y^2 cos y, y(0) = 0 has a unique solution in any finite rectangle centered at (0, 0). What is the solution?

Since we know that both y and y\' are continuous and defined on R². Therefore, by uniqueness theorem, the given differential equation has a unique solution at (0,0).

$Show that y\' = (x^2 - y^2) sin y + y^2 cos y, y(0) = 0 has a unique solution in any finite rectangle centered at (0, 0). What is the solution?SolutionSince we$

Show that y x2 y2 sin y y2 cos y y0 0 has a unique solut

Solution

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