TS EAMCET · Maths · Differential Equations
If \(m\) and \(n\) are respectively the order and the degree of the differential equation representing the family of curves \(y^2-5 a x-5 a^{\frac{3}{2}}=0(a>0\) is a parameter \()\), then the value of \(m-n\) is
- A 1
- B -1
- C 2
- D -2
Answer & Solution
Correct Answer
(D) -2
Step-by-step Solution
Detailed explanation
Given family of curves is \(y^2-5 a x-5 a^{\frac{3}{2}}=0\) ...(i) now differentiating w.r.t. \(x\) \(2 y y^{\prime}-5 a=0\) \(\Rightarrow a =\frac{2}{5} yy ^{\prime}\) ...(ii) Putting value of a in equation (i)…
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