A) \[3,1\]
B) \[1,2\]
C) \[2,1\]
D) \[1,3\]
Correct Answer: B
Solution :
Given differential equation can be rewritten as \[y-x\,\,\frac{dy}{dx}=\sqrt{{{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}}\] On squaring both sides, we get \[{{y}^{2}}+{{\left( x\frac{dy}{dx} \right)}^{2}}-2yx\frac{dy}{dx}={{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}\] Here, order is 1 and degree is 2.
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