To verify if the given differential equation is exact,
Give the equation
(3x2+2y)dx+(x−4y)dy=0
where
M=3x2+2y and
N=x−4y
For exactness, we know that
∂y∂M=∂x∂N
Now, we shall find ∂y∂M
∂y∂M=2
Also, we shall find ∂x∂N
∂x∂N=1
Since, ∂y∂M=∂x∂N
Hence, the differential equation (3x2+2y)dx+(x−4y)dy=0
Is not exact.
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