AP EAMCET · Maths · Differential Equations
The order and degree of the differential equation \(\left(\frac{d^3 y}{d x^3}\right)^{\frac{1}{2}}-2\left(\frac{d y}{d x}\right)^{\frac{1}{4}}+x y=0\) are respectively
- A 3 and 12
- B 3 and 2
- C 3 and 4
- D 3 and 6
Answer & Solution
Correct Answer
(C) 3 and 4
Step-by-step Solution
Detailed explanation
Given, \(y_3^{\frac{1}{2}}-2\left(y_1\right)^{\frac{1}{4}}+x y=0\) \[ \Rightarrow\left(y_3^{\frac{1}{2}}-x y\right)^4=\left[2\left(y_1\right)^{\frac{1}{4}}\right]^4 \]…
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