TS EAMCET · Maths · Differential Equations
The differential equation representing the family of circles of constant radius \(r\) is
- A \(r^2 y^{\prime \prime}=\left[1+\left(y^{\prime}\right)^2\right]^2\)
- B \(r^2\left(y^{\prime}\right)^2=\left[1+\left(y^{\prime}\right)^2\right]^2\)
- C \(r^2\left(y^{\prime \prime}\right)^2=\left[1+\left(y^{\prime}\right)^2\right]^3\)
- D \(\left(y^{\prime \prime}\right)^2=r^2\left[1+\left(y^{\prime}\right)^2\right]^2\)
Answer & Solution
Correct Answer
(C) \(r^2\left(y^{\prime \prime}\right)^2=\left[1+\left(y^{\prime}\right)^2\right]^3\)
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Family of circle of constant radius \(r\) is…
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