TS EAMCET · Maths · Differential Equations
The equation which represents the system of parabolas whose axis is parallel to \(y\)-axis satisfies the differential equation
- A \(\frac{d^3 y}{d x^3}=0\)
- B \(\frac{d^3 y}{d x^3}+\frac{d^2 y}{d x^2}=x+y\)
- C \(\frac{d^2 y}{d x^2}+x y=4 a x\)
- D \(\frac{d y}{d x}+x y=x^2\)
Answer & Solution
Correct Answer
(A) \(\frac{d^3 y}{d x^3}=0\)
Step-by-step Solution
Detailed explanation
Equation of parabola: \( y = Ax^2 + Bx + C \) \(\frac{dy}{dx} = 2Ax + B\) \(\frac{d^2y}{dx^2} = 2A\) \(\frac{d^3y}{dx^3} = 0\)
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