Question

Differential equations: Method of variation of parameter help.

Please see attached file.

Answer 1

a) \[y''-3y'-10y=4e ^{5t}\]
b) \[y''-2y+y=(e ^{t}/t),t>0\]

Answer 2

a: y(t)=(a)*e^(-2t)+(b)*e^(5t)+(4/7)*t*e^(5t)

Answer 3

b: y(t)=(a)e^t+(b)(t)e^t+(ln(t)-1)(t)e^t