AP EAMCET · Maths · Differential Equations
a, b, c, d are arbitrary constants. Then the corresponding differential equation to \(y=a c^x+b e^{-x}+c \cos x+d \sin x\) is
- A \(\mathrm{y}^{(4)}=\mathrm{y}\)
- B \(y^{(4)}+y=0\)
- C \(y^{(4)}-y^{(2)}+1=0\)
- D \(y^{(4)}+2 y^{(2)}+1=0\)
Answer & Solution
Correct Answer
(A) \(\mathrm{y}^{(4)}=\mathrm{y}\)
Step-by-step Solution
Detailed explanation
\(\because y=a e^x+b e^{-x}+c \cos x+d \sin x\)…
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