Question

Problem List Previous Problem (15 points) Find the function y(t) that satisfies the differential equation dy 2ty = -15te dt and the condition y(0) = -5. M) =

Answer 1

in the -158 et y lo = -5 Griven Question -2ty find y(t) = ? aut is hincar differential Equation in first Order solution of Lineas differential Equation by following steps Lot LDE oly + Py = 9 P 9 functions of t T Then find Integrating Factors IF= Then saketion will be y (IF) = S(0-I F) ot+ c According to the question -sty af + (1-24) y = P= -2t, St-24) dt If = dy 150422 *** 15 tot ² eit?

y = -5432*? Then solution yot Sistet xet at to - 15 t dit to -15 tc yox t = -543 to yo -5 tt yo) = -5 t Cat2 -5xot c G = -5 put in o y = -5 t 3 eet? -5 y = -56 t tieth YE) = -56 $3+) et y