AP EAMCET · Maths · Differential Equations
The differential equation having the general solution \(y=c(x-c)^2(c\) is an arbitrary constant) is
- A \(\left(y^{\prime}\right)^2=4 y^2\left(x y^{\prime}-2 y\right)\)
- B \(\left(y^{\prime}\right)^3=4 y\left(x y^{\prime}-2 y\right)\)
- C \(\left(y^{\prime}\right)^3=y\left(x^2 y^{\prime}-y\right)\)
- D \(\left(y^{\prime}\right)^3=2 y\left(x y^{\prime}+2 y\right)\)
Answer & Solution
Correct Answer
(B) \(\left(y^{\prime}\right)^3=4 y\left(x y^{\prime}-2 y\right)\)
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