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solve this ordinary differential equation
dy/dx = 1xyy+x , given y(0),= 1.
 one year ago
 one year ago
solve this ordinary differential equation dy/dx = 1xyy+x , given y(0),= 1.
 one year ago
 one year ago

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zepdrixBest ResponseYou've already chosen the best response.2
Hmm so it looks like this is separable. Just takes a little bit of work on the right side. Factor by grouping. \[\large y'=1xyy+x\]Factoring a y out of each of the middle terms gives us,\[\large y'=1y(x+1)+x\]We'll rewrite it like this,\[\large y'=(x+1)y(x+1)\]Now we can factor an x+1 out of each term, giving us,\[\large y'=(x+1)(1y)\]
 one year ago

zepdrixBest ResponseYou've already chosen the best response.2
Separating variables gives us,\[\large \frac{dy}{1y}=(x+1)dx\] Understand how to solve it from here? :o
 one year ago

soumyanBest ResponseYou've already chosen the best response.0
thanks for solution..... i done this method in my exam and today or by tomorrow i wil get my result... i wanted to confirm.... thank u so much...
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
And also @soumyan : \[\large{\color{orange}{\textbf{WELCOME TO OPENSTUDY}}}\]
 one year ago
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