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).
Stacey Warren - Expert brainly.com
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crap i forgot how to do this lol.. hold on... let's roll those marbles around
Turing do u remember how to do this?
I'm not sure if you need to actually solve it or not...
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No you don't.. I don't think so.. It's like this form with the constant
If y1 and y2 are solutions to that above equation, then for each of them
y' - a(t)y = b(t)
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
OHHHHH JamesJ tnx lol
I 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.