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In: Advanced Math

Find y as a function of t if 100y′′−9y=0100y″−9y=0 with y(0)=3,y′(0)=8.

Find y as a function of t if 100y′′−9y=0100y″−9y=0 with y(0)=3,y′(0)=8.

Solutions

Expert Solution

find roots first

for 2 real roots, general solution is

.................(1)

.

here y(0)=3

.

put it back in equation 1

take derivative

here y('0)=8

.

.

.

put both constant in equation 1

Colby Messinger answered 1 year ago
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