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 2 years ago
How to find Solution to differential equation
(x  4) y^{4} dx  x^{3} (y^{2}  3 ) dy = 0
 2 years ago
How to find Solution to differential equation (x  4) y^{4} dx  x^{3} (y^{2}  3 ) dy = 0

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gerryliyana
 2 years ago
Best ResponseYou've already chosen the best response.0How to find Solution to not exact differential equation \[(x  4) y^{4} dx  x^{3} (y^{2}  3 ) dy = 0\]

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1Isn't \[\int\limits \frac{x4}{x^3}dx=\int\limits \frac{y^23}{y^4}dy\] enough?

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1It's probably not, I'm still pants at DE

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1Anyway: don't ask me HOW to integrate that (use Wolfram integrator if you just want the answer), it's probably some counterintuitive trig substitution.

gerryliyana
 2 years ago
Best ResponseYou've already chosen the best response.0i got \[ \frac{ 1 }{ x } + \frac{ 2 }{ x^{2} }\frac{ 1 }{ y } + \frac{ 1 }{ y^{3} } = C\] am i right?

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1http://integrals.wolfram.com/index.jsp?expr=%28x4%29%2Fx%5E3&random=false http://integrals.wolfram.com/index.jsp?expr=%28x%5E23%29%2Fx%5E4&random=false So your signs are wrong for either the x or y terms but it's fine other than that.

niksva
 2 years ago
Best ResponseYou've already chosen the best response.0@gerryliyana in this type of differntial eqution, we use separation of variable technique as we can see from this differential equation, variables can be separated easily

niksva
 2 years ago
Best ResponseYou've already chosen the best response.0@ gerryliyana i m getting 1/x + 2/x^2 + 1/ y^2  1 /y^3 = C where C is constant

gerryliyana
 2 years ago
Best ResponseYou've already chosen the best response.0ok @niksva but i got 1/x + 2/x^2 + 1/ y  1 /y^3 = C where C is constant

niksva
 2 years ago
Best ResponseYou've already chosen the best response.0omg my mistake it is 1/y
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