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What is the order of the differential eq...

What is the order of the differential equation `dx/dy+ int y dx=x^3`?

Text Solution

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`dx/dy + int ydx = x^3`
As we do not know about `y` ,so we can not integrate it.
So, we can not determine the order of the given differential equation with `dx/dy`.
Now, we will try to reverse the given equation in the form of `dy/dx`.
`int ydx = x^3-dx/dy`
For this, we have to find `d/dx(dx/dy)` which is again not possible.
Hence, we can not determine the order of the given differential equation.
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