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Question

Identify the incorrect statement


A
The order of a differential equation is the order of the highest derivative occuring in it
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B
The degree of the differential equation is the degree of the highest order derivative which occurs in it (the derivatives are free radicals and fractions)
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C
dydx=f1(x,y)f2(x,y) is a first order first degree differential equation
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D
dydx+xy=ex is a linear differential equation is x
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Solution

The correct option is D $$\dfrac {dy}{dx} + xy = e^{x}$$ is a linear differential equation is $$x$$
Consider $$\dfrac{dy}{dx}+xy={e}^{x}$$
It is not linear differential equation because $${e}^{x}$$ is not linear.
Therefore the correct option is $$D$$.

Mathematics

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