1.

The general solution of the second order ODE y” + y’ + 0.25 y = 0 is:

A. \(y = {c_1}x + {c_2}{x^2}{e^{ - 0.5x}}\)
B. \(\left( {{c_1} + {c_2}x} \right){e^{ - 0.5x}}\)
C. \(y = {c_1} + {c_2}{x^2}{e^{ - 0.5x}}\)
D. \(\left( {{c_1} + {c_2}{x^2}} \right){e^{0.5x}}\)
Answer» C. \(y = {c_1} + {c_2}{x^2}{e^{ - 0.5x}}\)


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