AP EAMCET · Maths · Differential Equations
The sum of the order and degree of the differential equation \(x\left(\frac{d^2 y}{d x^2}\right)^{\frac{1}{2}}=\left(1+\frac{d y}{d x}\right)^{\frac{4}{3}}\) is
- A 5
- B 8
- C 12
- D 10
Answer & Solution
Correct Answer
(A) 5
Step-by-step Solution
Detailed explanation
\(x\left(\frac{d^2 y}{d x^2}\right)^{1 / 2}=\left(1+\frac{d y}{d x}\right)^{4 / 3}\) Squaring both sides \(x^2\left(\frac{d^2 y}{d x^2}\right)=\left(1+\frac{d y}{d x}\right)^{8 / 3}\) Cubing both sides \(x^6\left(\frac{d^2 y}{d x^2}\right)^3=\left(1+\frac{d y}{d x}\right)^8\)…
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