TS EAMCET · Maths · Differential Equations
The solution of \(\frac{d x}{d y}+\frac{x}{y}=x^2\) is :
- A \(\frac{1}{y}=c x-x \log x\)
- B \(\frac{1}{x}=c y-y \log y\)
- C \(\frac{1}{x}=c x+x \log y\)
- D \(\frac{1}{y}=c x-y \log x\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{x}=c y-y \log y\)
Step-by-step Solution
Detailed explanation
\(\frac{d x}{d y}+\frac{x}{y}=x^2\) \(\Rightarrow \quad \frac{1}{x^2} \frac{d x}{d y}+\frac{1}{x y}=1\) Put \(\quad \frac{1}{x}=t \Rightarrow-\frac{1}{x^2} \frac{d x}{d y}=\frac{d t}{d y}\)…
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