1. Solve the? third-order initial value problem below using themethod of Laplace transforms.
60y???+8y??+11y??20y=?60?, y(0)=11?, y?(0)=?10?, y"(0)= 50
2. Use the method of Laplace transforms to find a generalsolution to the differential equation below by assuming that a andb are arbitrary constants.
5y??+6y?+25y=5?, y(0)=a?, y'(0)=b
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