The integrating factor of d x x d y − y = x 4 − 3 x is

(c) Since x d x d y − y = x 4 − 3 x ∴ d x d y − x y = x 3 − 3 Hence I F = e ∫ P d x = e − ∫ x 1 d x = e − l o g x = x 1

Mathematics - Differential Equation Question with Solution | TestHub

MathematicsDifferential EquationLinear DE / Red. LDEEasy2 minPYQ_2023

MathematicsEasysingle choice

The integrating factor of $\frac{x d y}{d x} - y = x^{4} - 3 x$ is

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Answer:

Solution:

$(c) Since x \frac{d y}{d x} - y = x^{4} - 3 x ∴ \frac{d y}{d x} - \frac{y}{x} = x^{3} - 3$
Hence $I F = e^{\int P d x} = e^{- \int \frac{1}{x} d x} = e^{- l o g x} = \frac{1}{x}$

Stream:BITSATSubject:MathematicsTopic:Differential EquationSubtopic:Linear DE / Red. LDE

⏱ 2mℹ️ Source: PYQ_2023

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