anonymous
  • anonymous
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).
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions.

anonymous
  • anonymous
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).
Mathematics
chestercat
  • chestercat
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

bahrom7893
  • bahrom7893
crap i forgot how to do this lol.. hold on... let's roll those marbles around
bahrom7893
  • bahrom7893
Turing do u remember how to do this?
TuringTest
  • TuringTest
I'm not sure if you need to actually solve it or not...

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

bahrom7893
  • bahrom7893
No you don't.. I don't think so.. It's like this form with the constant
JamesJ
  • JamesJ
If 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
  • bahrom7893
OHHHHH JamesJ tnx lol
JamesJ
  • JamesJ
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.
TuringTest
  • TuringTest
ahhh...

Looking for something else?

Not the answer you are looking for? Search for more explanations.