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(Solved): Solve the following differential equations using Laplace Transforms. Perform partial fractions using ...



Solve the following differential equations using Laplace Transforms. Perform partial fractions using the residual method shown in class. 1.

x^(?) x=sin(t) x(0)=0 x^(¨) 3x^(?) 2x=0

x(0)=0 x^(?)(0)=1 x^(¨) 2x^(?) x=0

x(0)=1 x^(?)(0)=1

x^(¨) \omega _(n)^(2)x=0

x(0)=x_(0) x^(?)(0)=v_(0)


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