Question

solve y'=2t+3y

Answer 1

rearrange it:
\[\Large y'-3y=2t \]
Looks like a known DE to you?

Answer 2

i did then i got answer -2/3t-2/9
i want to know if it is correct

Answer 3

wat for y'=t+siny

Answer 4

well your answer should be a function, also I believe that your answer is going to include an exponential function.

Answer 5

\[\Large \frac{d(ye^{-3t})}{dt}=2t \]

Answer 6

thx i got it do i use the same method for the second one y'=t+siny

Answer 7

Are you sure you have written it out right? sin is a function of y? or is it sin(t)y ?

Answer 8

no its sin y

Answer 9

seems strange to me, that would be a very hard differential equation, it's not linear.

Answer 10

that y im stuck coz im unable to solve it as sin is a function of y

Answer 11

have you done non-linear DE's yet? Because if not, then I believe this is a printing error.

Answer 12

non-linear DE's are always hard to solve, for this I guess using a Maclaurin Series would work well, or use advanced guess/Laplace.

Answer 13

yep i think u right as this is part of question on forward euler method, i need to integrate to get the exact value... n crap im stuck with the integration...

Answer 14

The Euler method can be used to approximate a solution, the only thing I can recommend to you is to read the DE like that:
\[\Large y'=2t+\sin(t)y \]
Now this DE can easily be solved with the same method as above, it's linear. Unlike this one:
\[\Large y'=2t+\sin(y) \]
However, if you need to approximate one special solution near a given value, you can try it with the Euler Method.

Answer 15

in fact i need to find the error so have already done the euler method so now i think i will use the sin(t)y so that i can get the exact value n complete my exercise... thx lots for the help.. r u student also?

Answer 16

Yes student of Mathematics