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anonymous
 5 years ago
solve the initial value problem dy/dx=2yxx^2y and determine where the solution attains its minimal value
anonymous
 5 years ago
solve the initial value problem dy/dx=2yxx^2y and determine where the solution attains its minimal value

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dy = (2yx  x^2y) dx dy = y(2x  x^2) dx dy / y = (2x  x^2) dx ln(y) = x^2  x^3 / 3 y = e^((x^2  x^3) / 3) + C

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but how to get the value of c

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0C is a constant  it can be anything.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Because if you differentiate a constant, you get 0

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the value of "C" will depend on the point that is provided in the initial question. Otherwise, "C" is any constant....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but i got to solve it by separable equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right, right  plug in that initial to find C.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i will type the question again

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0there are an infinite number of "graphs" that have the same derivitive. They all differ by the value of their constant (C). the only way to determine the value of (C) is to have information regarding some point onthe graph that contains (C) to anchor it in...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I saw the question. You need your initial value (x = 0 y = __)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0solve the initial value problem dy/dx=2y^2+xy^2, y(0)=1 and determine where the solution attain its minimal value i am sending the same example and solution i got to do the same with the above one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im sending the solution now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0solution; separating variables gives; y^2dy=(2+x)dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Get out of here if you're not willing to listen to us.
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