MHT CET · Maths · Differential Equations
The differential equation of all parabolas with axis parallel to the axis of \(y\) is
- A \(y_{2}=2 y_{1}+x\)
- B \(y_{3}=2 y_{1}\)
- C \(y_{2}^{3}=y_{1}\)
- D None of these
Answer & Solution
Correct Answer
(D) None of these
Step-by-step Solution
Detailed explanation
The equation of the family of parabolas with axis parallel to axis of \(y\) is
\(
(x-a)^{2}=A(y-b)
\)
On differentiating w.r.t. \(x\), we get \(2(x-a)=A y_{1}\)
Again differentiating w.r.t. \(x\), we get
\(
2=A y_{2}
\)
On again differentiating w.r.t. \(x\), we get
\(
(x-a)^{2}=A(y-b)
\)
On differentiating w.r.t. \(x\), we get \(2(x-a)=A y_{1}\)
Again differentiating w.r.t. \(x\), we get
\(
2=A y_{2}
\)
On again differentiating w.r.t. \(x\), we get
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