COMEDK · Maths · 32. Differential Equations
The solution of the differential equation \(\dfrac{d^2 y}{d x^2}=0\) represents
- A all circles in a plane
- B all straight lines in a plane
- C all parabolas in a plane
- D all ellipses in a plane
Answer & Solution
Correct Answer
(B) all straight lines in a plane
Step-by-step Solution
Detailed explanation
The given differential equation is \(\dfrac{d^2 y}{d x^2} = 0\). Integrating both sides with respect to \(x\) once, we obtain \(\dfrac{dy}{dx} = c_1\), where \(c_1\) is an arbitrary constant. Integrating again with respect to \(x\), we obtain \(y = c_1 x + c_2\), where \(c_2\)…
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