TS EAMCET · Maths · Differential Equations
The order and degree of the differential equation \(\frac{d^2 y}{d x^2}+y+\left(\frac{d y}{d x}-\frac{d^3 y}{d x^3}\right)^{3 / 2}=0\), are respectively.
- A 3, 4
- B 2, 2
- C 3, 2
- D 3, 3
Answer & Solution
Correct Answer
(D) 3, 3
Step-by-step Solution
Detailed explanation
Given differential equation, \(\begin{aligned} \frac{d^2 y}{d x^2}+y+\left(\frac{d y}{d x}-\frac{d^3 y}{d x^3}\right)^{3 / 2} & =0 \\ \left(\frac{d y}{d x}-\frac{d^3 y}{d x^3}\right)^{3 / 2} & =-\left(\frac{d^2 y}{d x^2}+y\right) \end{aligned}\)…
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