Question

verify that y=3t+t^2 is a solution of ty'-y=t^2

Answer 1

what is y'?

Answer 2

o y prime

Answer 3

or derivative of y

Answer 4

you know y, define y' and plug it in

Answer 5

wow is that it?

Answer 6

yes, if y is a solution, then when you fill in the parts for y ande y', it should equate to t^2

Answer 7

if it doesnt, then its not a solution

Answer 8

prove that: x=3 is a solution to, 3x+2 = 11

Answer 9

ya i know but y' isnt defined in the problem, 9+2=11

Answer 10

y is defined, and there is only one way to get y' that i can think of :)

Answer 11

ya i got it thx, it is a solution

Answer 12

y=3t+t^2
y' = 3+2t

ty'-y=t^2

t(3+2t)-(3t+t^2) = t^2

good, now if they want you to prove it by some other method, fine; but the simplest way to check sis to plug in the information