Question #243685

4 d2y/dx2+25y=0


1
Expert's answer
2021-09-30T09:28:45-0400

Characteristic equation: 4r2+25=04r^2+25=0

r=52i,i=−52ir=\frac{5}{2} i, i=-\frac{5}{2}i.

General solution of DE: y=C1sin(52x)+C2cos(52x)y=C_1sin(\frac{5}{2}x)+C_2cos(\frac{5}{2}x).


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