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Best_Mathematician
 2 years ago
find general solution of this differential equation
dy/dx = y2
Best_Mathematician
 2 years ago
find general solution of this differential equation dy/dx = y2

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iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1oh, its easily variable separable, dy/ (y2) =dx did you try integrating this ?

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0no...i got confused if i need to subtract it or what

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1no subtract. dy/ (y2) =dx got this ? can you integrate ?

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0oh ya...is the answer dw:1364766331963:dw

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1yes, now do you need to isolate 'y' also ? if not, thats your answer.

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0ya i need to get y out

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0as i need to find c

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1then use log properties.

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0lets say we getta find c at x=1, y=1 how?

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1you are making this up ? general solution means we need 'c' nevertheless, y can't be 1 here.

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1364766554143:dw

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0ya i am making up...now lets find particular solution

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1y must be >=2 so that log term is defined...

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0no it is not

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0it is 1 and 1

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1ln of negative numbers are not defined in reals.

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0then we can't find c?

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1do we need to find 'c'? and yes, if x=y=1, then c is complex number...

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0yes we need to find particular solution

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1integrating gives ln (y  2) = x + c so y  2 = e^(x + c) = e^x * e*c = Ae^x y = Ae^x + 2

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1oh, good....now we don't have to actually worry about c being complex..

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0no we dont its calculus

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1you didn't get this ? : ln (y  2) = x + c so y  2 = e^(x + c) = e^x * e*c = Ae^x y = Ae^x + 2 what you have doubt with ?

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1just plug in x=1, y=1 there,and you'll get A

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0ok now the initial condition is y(0)=1

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1so, put x=0 y=1 this should not be any problem...

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1364767623910:dw

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1364767697343:dw

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1no, put e^c = A you can keep the general form in A and A=2 is valid.

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1you have to find a constant, not specifically 'c' A can be used, as valid constant.

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0can 1 put c1 and c2 instead....i really dont know what is A

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1sure, you can even put 'Best_Mathematician' instead Best_Mathematician = 2 :P

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0ya whatever lol...so A is just a constant right

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0haha thanks...do you want going further in this equation

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1this is your question...do you wanna go ?

Best_Mathematician
 2 years ago
Best ResponseYou've already chosen the best response.0ya lol..... Use a technological tool and Euler's method with ten steps of size 0.1 to estimate y(1). Make certain to include supporting screen captures.

iambehindyou
 2 years ago
Best ResponseYou've already chosen the best response.1sorry... that was latin to me :P
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