A first-order ordinary differential equation M(x, y) dx + N(x, y) dy = 0 is defined as an exact differential equation if there exists a continuous scalar function u(x, y) such that:

Question

Answer

∂u/∂x = M and ∂u/∂y = N

Answer

M dx = −N dy

Answer

∂u/∂x = N and ∂u/∂y = M

Answer

∂M/∂x = ∂N/∂y

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A first-order ordinary differential equation M(x, y) dx + N(x, y) dy = 0 is defi...

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