1.

If Y = ex sin x, then which of the following differential equation holds true?

A. \(\frac{{{d^2}y}}{{d{x^2}}} + \frac{{dy}}{{dx}} + y = 0\)
B. \(\frac{{{d^2}y}}{{d{x^2}}}-2\frac{{dy}}{{dx}} + 2y = 0\)
C. \(\frac{{{d^2}y}}{{d{x^2}}}-\frac{{dy}}{{dx}} + y = 0\)
D. \(\frac{{{d^2}y}}{{d{x^2}}} + 2\frac{{dy}}{{dx}}\; - \;y = 0\)
Answer» C. \(\frac{{{d^2}y}}{{d{x^2}}}-\frac{{dy}}{{dx}} + y = 0\)


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