AP EAMCET · Maths · Differential Equations
If is the general solution of then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
dydx=2x-4y-5x-2y+2 =2x-2y+2-9x-2y+2 Let x-2y+2=t⇒1-2dydx=dtdx ⇒dydx=12-12dtdx i.e. 12-12dtdx=2t-9t ⇒dtdx=-22t-9t-12=18-4tt+1 ⇒dtdx=18-3tt⇒t18-3tdt=dx ⇒-6-t-66-tdt=3dx ⇒-dt+66-tdt=3dx Integrating, we get -t-6ln6-t=3x+C…
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