Question

My courses / MAT2022_S / July 16 2020 / TEST 2 JULY 31, 2020 The particular integral of the differential equation 4 +4 dy + 3y = 3e2x is dx2 dx Select one: et a. 9 e 2x b. 3 3e2x c. e 2x d. 9 Moyt nade

can someone solve this differential equation. I'll definitely leave good remarks

Answer 1

+ 4 + 22 = 3 e dx² dx os 4D²+4073 The differential equation given as: 4 dy 4 dy + 3y The cuialiary equation given flo thenow that fordicular cultipcel solution is given as, Porticular integra Since fo2 е 02 sol (P. I) Now in our questions P. I 3 e {o a=2} f(2) P.J. 2x 3 3 e 4 (2)² + 4.(2) +3 16+8+3 2x 3 e 27 IP.I. 2x e 11 e So the option (d) matches with the obtained answer.