AP EAMCET · Maths · Differential Equations
The general solution of \(\frac{d y}{d x}=\cos ^2(x-y-1)\) is given by \(\mathrm{x}=\)
- A \(\mathrm{C}-\cot (\mathrm{x}-\mathrm{y}-1)\)
- B \(\mathrm{C}-\tan (\mathrm{x}-\mathrm{y}+1)\)
- C \(\mathrm{y}+\mathrm{C} \cot (\mathrm{x}-\mathrm{y}-1)\)
- D \(\mathrm{Cy}+\tan (\mathrm{x}-\mathrm{y}-1)\)
Answer & Solution
Correct Answer
(A) \(\mathrm{C}-\cot (\mathrm{x}-\mathrm{y}-1)\)
Step-by-step Solution
Detailed explanation
\(\because \frac{d y}{d x}=\cos ^2(x-y-1)\) let \(x-y-1=P \Rightarrow 1-\frac{d y}{d x}=\frac{d p}{d x} \Rightarrow \frac{d y}{d x}=1-\frac{d p}{d x}\) Using above substitution in \(\mathrm{eq}^{\mathrm{n}}\) (i), we get…
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