- #1
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I need to find the laplace transform of
y''(t)-y(t)=0 with initial conditions y(0)=1 and y'(0)=3
My attempt:
Ly''(t)=(s^2)F(s)-s(1)-(3)
Ly'(t)=sF(s)-1
so (s^2)F(s)-s(1)-(3)-sF(s)-1=0
I need to isolate F(s) so
F(s)=-(2/s^2)
Is this correct?
y''(t)-y(t)=0 with initial conditions y(0)=1 and y'(0)=3
My attempt:
Ly''(t)=(s^2)F(s)-s(1)-(3)
Ly'(t)=sF(s)-1
so (s^2)F(s)-s(1)-(3)-sF(s)-1=0
I need to isolate F(s) so
F(s)=-(2/s^2)
Is this correct?