Question: M4: Demonstrate how different models of engineering systems using first-orderdifferential equations can be used to solve engineering problemsSolve the first-order differential equationdTdt+kT=T,T(0)=100,T=25,k=0.05and find T(t) for

M4: Demonstrate how different models of engineering systems using first-orderdifferential equations can be used to solve engineering problemsSolve the first-order differential equationdTdt+kT=T,T(0)=100,T=25,k=0.05and find T(t) for t=10.D4: Critically evaluate first and second-order differential equations when generatingsolutions to engineering situations using models of engineering systemsSolve the first-order differential equationdxdt+2x=10,x(0)=0and the second-order differential equationd2xdt2+3dxdt+2x=0,x(0)=1,dxdt(0)=0Compare their solutions.Solve the second-order differential equationd2xdt2+5x=sin(t),x(0)=0,dxdt(0)=1and find x(t) for t=5.

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