1.

The differential equation satisfying y = \(A{e^{3x}} + B{e^{2x}}\) is

A. \(\frac{{{d^2}y}}{{d{x^2}}} + 5\frac{{dy}}{{dx}} - 6y = 0\)
B. \(\frac{{{d^2}y}}{{d{x^2}}} - 5\frac{{dy}}{{dx}} + 6y = 0\)
C. \(\frac{{{d^2}y}}{{d{x^2}}} + 5\frac{{dy}}{{dx}} + 6y\)
D. \(\frac{{{d^2}y}}{{d{x^2}}} - 5\frac{{dy}}{{dx}} - 6y = 0\)
Answer» C. \(\frac{{{d^2}y}}{{d{x^2}}} + 5\frac{{dy}}{{dx}} + 6y\)


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