Short Answer TypeSolve the following initial value problem:
(1 + x y) y dx + (1 – x y) x dy = 0, y (1) = 1.
        ...(1)
 from (1),
               
 given that y = 1,  when x = 0.
Solve the differential equation;
x (1 + y2 ) dx – y (1 + x2 ) dy = 0  given that y = 0 when x = 1.Â
Long Answer TypeShort Answer Type
 given that y = 0 when x = 0.
Find the equation of the curve passing through the point (1, 1) whose differential equation is x dy = (2 x2 + 1) dx (x ≠0).
Long Answer Type
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