Differential EquationHard
Question
The solution of y dx - x dy + 3x2 y2 dx = 0 is
Options
A.
+ ex3 = C
+ ex3 = CB. - ex3 = 0
- ex3 = 0C.- + ex3 = C
+ ex3 = CD.none of these
Solution
(y + 3x2y2 ex3)dx = x dy
⇒
⇒
= y2(3x ex3)
⇒
= 3x ex3
put -
= t ⇒ 
= 3x ex3 I.F. = e∫dx/x = x
(t x) = 3x2ex3 ⇒ tx = ∫3x2ex3dx
⇒
= ex3 + c
⇒
⇒
= y2(3x ex3)⇒
= 3x ex3put -
= t ⇒ = 3x ex3 I.F. = e∫dx/x = x (t x) = 3x2ex3 ⇒ tx = ∫3x2ex3dx⇒
= ex3 + c Create a free account to view solution
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