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GUJCET · Maths · Continuity and Differentiability
If \(y=100 e^{2 x}+200 e^{-2 x}\) and \(\frac{d^2 y}{d x^2}=a y\) then, \(a=\) ____________
- A 2
- B \(-4\)
- C \(0\)
- D 4
Answer & Solution
Correct Answer
(D) 4
Step-by-step Solution
Detailed explanation
\(\frac{d y}{d x}=100(2)e^{2x}+200(-2)e^{-2x} = 200e^{2x}-400e^{-2x}\) \(\frac{d^2 y}{d x^2}=200(2)e^{2x}-400(-2)e^{-2x} = 400e^{2x}+800e^{-2x}\)
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