All Questions Topic List
Limits Questions
Previous in All Question Next in All Question
Previous in Limits Next in Limits
Question Number 184683 by alcohol last updated on 10/Jan/23
x″−5tx′+8t2x=2lntt2solvethedifferentialeqn
Answered by qaz last updated on 10/Jan/23
t2x″−5tx′+8x=2lntt=ez,xp=1D(D−1)−5D+82z=(1D−4−1D−2)z=e4z1De−4zz−e2z1De−2zz=e4z∫e−4zzdz−e2z∫e−2zzdz=14z+316⇒x=C1e4z+C2e2z+14z+316=C1t4+C2t2+14lnt+316
Terms of Service
Privacy Policy
Contact: info@tinkutara.com