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The general solution of the equation y???y=0 is y=c1ex+c2e?x.
Find values of c1 and c2 so that y(0)=?5 and y?(0)=1.
c1=
c2=
Plug these values into the general solution to obtain the unique solution.
y=
Solution
Answer:
y(0) = c1+c2 = -5
y'(0) = c1-c2 =1
=> c1 = -2
c2 = -3

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The general solution of the equation yy=0 is y=c1ex+c2ex.Find .pdf

  • 1. The general solution of the equation y???y=0 is y=c1ex+c2e?x. Find values of c1 and c2 so that y(0)=?5 and y?(0)=1. c1= c2= Plug these values into the general solution to obtain the unique solution. y= Solution Answer: y(0) = c1+c2 = -5 y'(0) = c1-c2 =1 => c1 = -2 c2 = -3