Question
Download Solution PDFThe differential equation of all lines passing through the origin is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Differential Equation: A differential equation is an equation that relates one or more functions and their derivatives.
e.g. \(\rm \dfrac{dy}{dx}\) + x = 2y + 3, etc.
\(\rm \dfrac{d}{dx}x^n\) = nxn-1.
Calculation:
The general equation of all lines passing through the origin is y = mx, where m is a constant. Differentiating this equation with respect to x, we get:
\(\rm \dfrac{d}{dx}(y)=\dfrac{d}{dx}(mx)\)
⇒ \(\rm \dfrac{dy}{dx}=m=\dfrac{y}{x}\)
∴ The answer is none of these.
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