Questions Asked in Previous 10 Years' Exams The differential equation which represents the famil...

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Questions Asked in Previous 10 Years' Exams
The differential equation which represents the family of curves \( y=c_{1} e^{c_{2} x} \), where \( c_{1} \) and \( c_{2} \) are arbitrary constants, is
[2009 AEEE]
(a) \( y^{\prime}=y^{2} \)
(b) \( y^{\prime \prime}=y^{\prime} y \)
(c) \( y y^{\prime \prime}=y^{\prime} \)
(d) \( y y^{\prime \prime}=\left(y^{\prime}\right)^{2} \).
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