(cos x cos y) dx + (sin x cos y - sin x sin y + y) dy = 0, y(pi/2) = 0 Find the integrating factor for the differential equation and solve.
Added by Marcos M.
Step 1
We can check if the equation is already exact by calculating the partial derivatives: ∂M/∂y = -sin(x)sin(y) ∂N/∂x = cos(x)cos(y) - cos(x)sin(y) Since ∂M/∂y ≠ ∂N/∂x, the equation is not exact. We will now try to find an integrating factor µ(x) that depends only Show more…
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