Problem #7: Let L(y)=any(n)(x)+an−1y(n−1)(x)+⋯+a1y′(x)+a0y(x) where a0,a1,…,an are fixed constants. Consider the
Posted: Wed Jul 13, 2022 5:10 am
Problem #7: Let L(y)=any(n)(x)+an−1y(n−1)(x)+⋯+a1y′(x)+a0y(x) where a0,a1,…,an are fixed constants. Consider the nth order linear differential equation L(y)=6e2xcosx+3xe2x Suppose that it is known that L[y1(x)]=5xe2x when y1(x)=10xe2x L[y2(x)]=9e2xsinx when y2(x)=72e2xcosx L[y3(x)]=9e2xcosx when y3(x)=18e2xcosx+90e2xsinx Find a particular solution to (∗) Problem #7: