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(Solved): In each of Problems 13 through 18 find the solution of the given initial value problem. 13. y^('')+y ...
In each of Problems 13 through 18 find the solution of the given initial value problem. 13.
y^('')+y^(')-2y=2t,
y(0)=0,
y^(')(0)=114.
y^('')+4y=t^(2)+3e^(t),
y(0)=0,
y^(')(0)=215.
y^('')-2y^(')+y=te^(t)+4,
y(0)=1,
y^(')(0)=116.
y^('')-2y^(')-3y=3te^(2t),
y(0)=1,
y^(')(0)=017.
y^('')+4y=3sin2t,
y(0)=2,
y^(')(0)=-118.
y^('')+2y^(')+5y=4e^(-t)cos2t,
y(0)=1,y^(')(0)=0