Which of the differential equation satisfy y = a ex + b e-x as a solution?

Question

TuteeHUB · Accepted Answer

$\frac{{{\text{d}}^{3}}\text{y}}{\text{d}{{\text{x}}^{3}}}=\frac{\text{dy}}{\text{dx}}$

TuteeHUB · Answer

$\frac{{{\text{d}}^{2}}\text{y}}{\text{d}{{\text{x}}^{2}}}=\frac{\text{dy}}{\text{dx}}$

TuteeHUB · Answer

$\frac{{{\text{d}}^{2}}\text{y}}{\text{d}{{\text{x}}^{2}}}=\text{y}$

TuteeHUB · Answer

$\frac{{{\text{d}}^{2}}\text{y}}{\text{d}{{\text{x}}^{2}}}=\frac{\text{dy}}{\text{dx}}+\text{y}$

1.	Which of the differential equation satisfy y = a ex + b e-x as a solution?
A.	\(\frac{{{\text{d}}^{2}}\text{y}}{\text{d}{{\text{x}}^{2}}}=\frac{\text{dy}}{\text{dx}}\)
B.	\(\frac{{{\text{d}}^{2}}\text{y}}{\text{d}{{\text{x}}^{2}}}=\text{y}\)
C.	\(\frac{{{\text{d}}^{3}}\text{y}}{\text{d}{{\text{x}}^{3}}}=\frac{\text{dy}}{\text{dx}}\)
D.	\(\frac{{{\text{d}}^{2}}\text{y}}{\text{d}{{\text{x}}^{2}}}=\frac{\text{dy}}{\text{dx}}+\text{y}\)
Answer» C. \(\frac{{{\text{d}}^{3}}\text{y}}{\text{d}{{\text{x}}^{3}}}=\frac{\text{dy}}{\text{dx}}\)

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