A differential equation is called linear when the independent variable y and its all derivatives occur
(A) first degree
(B) second degree
(C) third degree
(D) all of these
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Step-by-step explanation:
unknown function and its derivatives have no exponent greater than one and there are no cross-terms—i.e., terms such as f f′ or f′f′′ in which the function or its
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A differential equation is called linear when the independent variable y and its all derivatives occur first degree.
- In a linear differential equation, the dependent variable or its derivates must occur only in the first degree.
- The product of the dependent variable should not be formed.
- The general form of this equation is dy/dx + Py = Q, where "P" and "Q" are a constant or any function of the variable "x", this is called a linear differential equation.
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