Assertion (A): The order of the differential equation given by dy dx + 4y = x is 1 …
Mathematics · Class 12 · CBSE — Differential Equations
Assertion (A): The order of the differential equation given by \(\dfrac{dy}{dx} + 4y = \sin x\) is \(1\).
Reason (R): The order of a differential equation is defined as the order of the highest derivative occurring in the differential equation, i.e., for \(n^{th}\) derivative \(\dfrac{d^n y}{dx^n}\) if \(n = 1\) then its order is \(1\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(A) Both (A) and (R) are true and (R) is the correct explanation of (A).
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