AP EAMCET · Maths · Differential Equations
The degree of the differential equation \(\log \left(\frac{d y}{d x}\right)\) \(\left(2 x+3 \frac{d y}{d x}\right)^2\) is
- A 1
- B 2
- C 3
- D not defined
Answer & Solution
Correct Answer
(D) not defined
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {} \because \log \left(\frac{d y}{d x}\right)=\left(2 x+3 \frac{d y}{d x}\right)^2 \\ & \Rightarrow\left(\frac{d y}{d x}\right)-\frac{1}{2 !}\left(\frac{d y}{d x}\right)^2+\frac{1}{3 !}\left(\frac{d y}{d x}\right)^3-\ldots \\ & =4 x^2+3 \\ & \left(\frac{d…
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