2. Use substitution to solve the second order y(0)=1 and linear IVP y"-y=0 with y'(0)=0. Hint: Let y'=v(t) and use the chain rule

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2. Use substitution to solve the second order
linear IVP y"– y=0 with y(0)=1 and
y'(0)=0. Hint: Let y'=v(t) and use the
chain rule
Transcribed Image Text:2. Use substitution to solve the second order linear IVP y"– y=0 with y(0)=1 and y'(0)=0. Hint: Let y'=v(t) and use the chain rule
Expert Solution
Step 1

Given that,

Second order differential equation is,

y'' - y = 0                                              .............(1)

y(0) = 1      and        y'(0) = 0

we have to find general solution of the given IVP.

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