Find the solution of the following IVP: y(t) = = -t³ et² + 4e¹2 dy dt - 2ty = -3t²e²², y(0) = 4.
Solve the initial value problem for 0 < t < and y(π/2) = 13. Put the problem in standard form. Then find the integrating factor, p(t) and finally find y(t) sin (t) 35 + 64 5 sin (t) dy 5 (sin(t) + cos(t)) = cos(t) sin" (t), dt