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anonymous
 4 years ago
Suppose that y1(t) and y2(t) are both solutions to the differential equation
dy/dt= a(t)y + b(t).
Write down a linear differential equation satisfied by y1(t) + y2(t).
anonymous
 4 years ago
Suppose that y1(t) and y2(t) are both solutions to the differential equation dy/dt= a(t)y + b(t). Write down a linear differential equation satisfied by y1(t) + y2(t).

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bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0crap i forgot how to do this lol.. hold on... let's roll those marbles around

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0Turing do u remember how to do this?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0I'm not sure if you need to actually solve it or not...

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0No you don't.. I don't think so.. It's like this form with the constant

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2If y1 and y2 are solutions to that above equation, then for each of them y'  a(t)y = b(t) Hence y1'  a(t)y1 = b(t) y2'  a(t)y2 = b(t) Add these equations together and you'll see what is the linear INhomogeneous equation satisfied by y1 + y2

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.0OHHHHH JamesJ tnx lol

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.2I guess the point of this exercise is to show you that the sum of solutions to an inhomogeneous equation cannot be added together, as would be the case with solutions to a homogeneous equation.
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