solve dy/dx=(9x+y+1)^2 by method of separable variable?
solve dy/dx=(9x+y+1)^2 by method of separable variable?
ajay , 8 Years ago
Grade 12th pass
Differential Calculus> solve dy/dx=(9x+y+1)^2 by method of separ...
2 AnswersNandana
Last Activity: 8 Years ago
hi ,
first, expand (9x+y+1)^2 ,
which is –
d/dx(y) = 81x^2 +y^2+1+2y+81xy+81x
take integration on both sides , then
y = ∫ (81x2 +y2+1+2y+81xy+81x) dx
y = 27 x3 +81/2x2y + 81/2 x2 +(y2 +1)x
simplify further if you want
Nandana
Last Activity: 8 Years ago
hi ,
first, expand (9x+y+1)^2 ,
which is –
d/dx(y) = 81x^2 +y^2+1+2y+81xy+81x
take integration on both sides , then
y = ∫ (81x2 +y2+1+2y+81xy+81x) dx
y = 27 x3 +81/2x2y + 81/2 x2 +(y2 +1)x + K
where ‘K ‘ orbitary constant
simplify further if you want !
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