State whether true or false: Order and degree of a differential equation are always positive integers.
Q.1 (B) (iii) State whether true or false: Order and degree of a differential equation are always positive integers.
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Answer: True
The order is the order of the highest derivative, so it is always a positive integer. The degree is the power of the highest order derivative after the equation is made free of radicals and fractions in the derivatives; whenever the degree is defined, it is also a positive integer. (If the equation is not a polynomial in the derivatives, e.g. \(\sin\left(\frac{dy}{dx}\right)=x\), its degree is not defined.)
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· 28 Oct 2026
AI-verified · Oct 2026
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