A) \[-3\]
B) 0
C) 3
D) 9
Correct Answer: D
Solution :
\[\frac{dy}{dx}+\left( \frac{2}{x} \right)y=4x\] (Linear differential equation) I.F. \[={{e}^{2\int{\frac{dx}{x}}}}={{x}^{2}}\] So, \[y.{{(x)}^{2}}=\int{{}}(4x){{x}^{2}}dx+c\Rightarrow y{{(x)}^{2}}={{x}^{4}}+c\] As, \[y(1)=1\Rightarrow 1=1+c=0\] \[f(x)={{x}^{2}}\Rightarrow f(-3)=9\]You need to login to perform this action.
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