File: transforms.mpt

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Verify( LaplaceTransform(t,s,1), 1/s );
Verify( LaplaceTransform(t,s,t^3), 6/s^4);
Verify( LaplaceTransform(t,s,t), 1/s^2 );
Verify( LaplaceTransform(t,s,t*Exp(4*t)), 1/(4*(s/4-1))^2 );
Verify( LaplaceTransform(t,s,Exp(4*t)*Cos(4*t)), (s-4)/(16*(((s-4)/4)^2+1)) );
Verify( LaplaceTransform(t,s,t^3*Cosh(t)) Where s==2, 82/27 );