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Use the Laplace transform to solve the following differential equations:
1. y'+6y=2*t+3, y(0)=1
2. y'-2*y=exp(-t)*cos(t) , y(0)=-2
3. y''-y=2*t , y(0)=0, y'(0)=-1
Show every single steps, must use Laplace transform to solve the problems
Find the volume of the solid whose base is bounded by the circle x^2+y^2=4, with the indicated cross sections taken perpendicular to the x-axis.
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Find the angle between the two forces. Round to the nearest integer.
Find the temperature at 9:01 A.M.,at 9:08 A.M.,and at 9:20 A.m.
1. the distribution of the weights of the packages received by a parcel service is normal. nine packages are randomly
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