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anonymous
 5 years ago
hey I need to find out whether a few differential equations are separable, first order linear, both, or neither. one of the equations is y'+4y^2=0
anonymous
 5 years ago
hey I need to find out whether a few differential equations are separable, first order linear, both, or neither. one of the equations is y'+4y^2=0

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watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1non linear since we have a y^2 there and it is separable since we can rewrite as dy/(4y^2)=dt

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok I understand the linear equation part, but not so much the separable part.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1what is your definition for separable differential eq.?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0an equations that has y'=f(x)g(y)

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1ok, then y'=(4)y^2 and you can take f(x)=4 and g(y)=y^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok thanks, and for first order linear just look for highest power of y?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0some of the equations have x's

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1not the power of y but what is the highest derivative that you have for example y'''+xy'x^3=e^x is linear of order 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would y''+x^2y+z=0 be separable?
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