Consider equations (2) and (3). 2(150-x2) 3x2 100-1 dx2 di 100+t dx2 300–2x2 3x2 dt 100+1 100-1 (5) (300–2x2)(100-1)-32(100+1) (100+1)(100-1) dt 300+t (100+1)(100–1) 300 X2 D 100+1 dt Consider the...

I have a question regarding this answer, specifically at the moment it's solved the IF at step 4, because instead of doing e^∫ 300+t/(100-t)(100+t)dt, 300+t it's changed for 500+t and with that he continues the resolution of the problem.


It's correct or I'm missing something? Thanks

Extracted text: Consider equations (2) and (3). 2(150-x2) 3x2 100-1 dx2 di 100+t dx2 300–2x2 3x2 dt 100+1 100-1 (5) (300–2x2)(100-1)-32(100+1) (100+1)(100-1) dt 300+t (100+1)(100–1) 300 X2 D 100+1 dt Consider the integrating factor for equation (5). 500+ -di IF =el (100+(100-) IF e2 In(t+100)–3 In(1–100) (+100)2 In IF = e (-100)3 (1+100)² IF = (1-100) +